53328 (number)
53,328 (fiftythree thousand three hundred twentyeight) is an even fivedigits composite number following 53327 and preceding 53329. In scientific notation, it is written as 5.3328 × 10^{4}. The sum of its digits is 21. It has a total of 7 prime factors and 40 positive divisors. There are 16,000 positive integers (up to 53328) that are relatively prime to 53328.
Basic properties
 Is Prime? No
 Number parity Even
 Number length 5
 Sum of Digits 21
 Digital Root 3
Name
Short name  53 thousand 328 

Full name  fiftythree thousand three hundred twentyeight 
Notation
Scientific notation  5.3328 × 10^{4} 

Engineering notation  53.328 × 10^{3} 
Prime Factorization of 53328
Prime Factorization 2^{4} × 3 × 11 × 101
Composite numberω(n)  Distinct Factors  4  Total number of distinct prime factors 

Ω(n)  Total Factors  7  Total number of prime factors 
rad(n)  Radical  6666  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  0  Returns:

Λ(n)  Mangoldt function  0  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 53,328 is 2^{4} × 3 × 11 × 101. Since it has a total of 7 prime factors, 53,328 is a composite number.
Divisors of 53328
40 divisors
τ(n)  Total Divisors  40  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  151776  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  98448  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  3794.4  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  230.92856038178  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  14.054395951929  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 53,328 can be divided by 40 positive divisors (out of which 32 are even, and 8 are odd). The sum of these divisors (counting 53,328) is 151,776, the average is 379,4.4.
Other Arithmetic Functions (n = 53328)
φ(n)  Euler Totient  16000  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  200  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 5436  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 16,000 positive integers (less than 53,328) that are coprime with 53,328. And there are approximately 5,436 prime numbers less than or equal to 53,328.
Divisibility of 53328
m  2  3  4  5  6  7  8  9 

n mod m  0  0  0  3  0  2  0  3 
The number 53,328 is divisible by 2, 3, 4, 6 and 8.
Classification of 53328
By Arithmetic functions
 Abundant
Expressible via specific sums
 Polite
 Practical
Base conversion (53328)
Base  System  Value 

2  Binary  1101000001010000 
3  Ternary  2201011010 
4  Quaternary  31001100 
5  Quinary  3201303 
6  Senary  1050520 
8  Octal  150120 
10  Decimal  53328 
12  Duodecimal  26a40 
16  Hexadecimal  d050 
20  Vigesimal  6d68 
36  Base36  155c 
Basic calculations (n = 53328)
Multiplication
n×yn×2  106656 

n×3  159984 
n×4  213312 
n×5  266640 
Division
n÷yn÷2  26664.000 

n÷3  17776.000 
n÷4  13332.000 
n÷5  10665.600 
Exponentiation
n^{y}n^{2}  2843875584 

n^{3}  151658197143552 
n^{4}  8087628337271341056 
n^{5}  431297043970006075834368 
Nth Root
^{y}√n^{2}√n  230.92856038178 

^{3}√n  37.64018639871 
^{4}√n  15.196333780941 
^{5}√n  8.8184256831207 
53328 as geometric shapes
Circle
Radius = nDiameter  106656 

Circumference  335069.70606127 
Area  8934298642.4178 
Sphere
Radius = nVolume  6.3526437067047E+14 

Surface area  35737194569.671 
Circumference  335069.70606127 
Square
Length = nPerimeter  213312 

Area  2843875584 
Diagonal  75417.180854232 
Cube
Length = nSurface area  17063253504 

Volume  151658197143552 
Space diagonal  92366.805466033 
Equilateral Triangle
Length = nPerimeter  159984 

Area  1231434250.4732 
Altitude  46183.402733017 
Triangular Pyramid
Length = nSurface area  4925737001.8926 

Volume  17873089937122 
Height  43542.129667714 
Cryptographic Hash Functions
md5  ff6aa7c3978d4b8860a3f7deba6a096a 

sha1  9887c236ba498490573deaeebae6355696fc9735 
sha256  4842084efc513b6cd13ea7939f6d42537c5626f889cf21966352025a7e53f7e1 
sha512  7e1339c9c15f86be85c09a4bc31c0a7015d1567716f9ddfa74ff0afca568e8bbf3596549c88ce2b1bbca4618451a7f965ec9401e3421b4fea1669761de7e53f2 
ripemd160  a5e9eab7a52653600ad4066f61017c0d92ccb242 