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56532096 = 2732311583
BaseRepresentation
bin1101011110100…
…1110010000000
310221101010110100
43113221302000
5103433011341
65335402400
71254341415
oct327516200
9127333410
1056532096
1129a02445
1216b23400
13b93465a
14771810c
154e6a3b6
hex35e9c80

56532096 has 96 divisors (see below), whose sum is σ = 168030720. Its totient is φ = 18224640.

The previous prime is 56532053. The next prime is 56532097. The reversal of 56532096 is 69023565.

56532096 is a `hidden beast` number, since 565 + 3 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56532096.

It is not an unprimeable number, because it can be changed into a prime (56532097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34921 + ... + 36503.

It is an arithmetic number, because the mean of its divisors is an integer number (1750320).

Almost surely, 256532096 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 56532096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84015360).

56532096 is an abundant number, since it is smaller than the sum of its proper divisors (111498624).

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

56532096 is a wasteful number, since it uses less digits than its factorization.

56532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56532096 is about 7518.7828802274. The cubic root of 56532096 is about 383.7941605148.

The spelling of 56532096 in words is "fifty-six million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1583 1984 2232 2976 3166 3968 4464 4749 5952 6332 8928 9498 11904 12664 14247 17856 18996 25328 28494 35712 37992 49073 50656 56988 75984 98146 101312 113976 147219 151968 196292 202624 227952 294438 303936 392584 441657 455904 588876 607872 785168 883314 911808 1177752 1570336 1766628 1823616 2355504 3140672 3533256 4711008 6281344 7066512 9422016 14133024 18844032 28266048 56532096