Search a number
-
+
56397504 = 263833539
BaseRepresentation
bin1101011100100…
…0111011000000
310221010021211110
43113020323000
5103414210004
65332443320
71253241132
oct327107300
9127107743
1056397504
1129920309
1216a79540
13b8b8307
1476c1052
154e40589
hex35c8ec0

56397504 has 56 divisors (see below), whose sum is σ = 151058880. Its totient is φ = 18567424.

The previous prime is 56397503. The next prime is 56397521. The reversal of 56397504 is 40579365.

It is not an unprimeable number, because it can be changed into a prime (56397503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14167 + ... + 17705.

It is an arithmetic number, because the mean of its divisors is an integer number (2697480).

Almost surely, 256397504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56397504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75529440).

56397504 is an abundant number, since it is smaller than the sum of its proper divisors (94661376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56397504 is a wasteful number, since it uses less digits than its factorization.

56397504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 56397504 is about 7509.8271617927. The cubic root of 56397504 is about 383.4893385603.

The spelling of 56397504 in words is "fifty-six million, three hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 166 192 249 332 498 664 996 1328 1992 2656 3539 3984 5312 7078 7968 10617 14156 15936 21234 28312 42468 56624 84936 113248 169872 226496 293737 339744 587474 679488 881211 1174948 1762422 2349896 3524844 4699792 7049688 9399584 14099376 18799168 28198752 56397504