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56495232 = 27345449
BaseRepresentation
bin1101011110000…
…0110010000000
310221022020220000
43113200302000
5103430321412
65334520000
71254126063
oct327406200
9127266800
1056495232
1129987782
1216b06000
13b920941
1477088da
154e5e4dc
hex35e0c80

56495232 has 80 divisors (see below), whose sum is σ = 168159750. Its totient is φ = 18828288.

The previous prime is 56495209. The next prime is 56495239. The reversal of 56495232 is 23259465.

56495232 is a `hidden beast` number, since 5 + 649 + 5 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54997056 + 1498176 = 7416^2 + 1224^2 .

It is a super-2 number, since 2×564952322 = 6383422477467648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56495239) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7644 + ... + 13092.

Almost surely, 256495232 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 56495232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84079875).

56495232 is an abundant number, since it is smaller than the sum of its proper divisors (111664518).

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

56495232 is an equidigital number, since it uses as much as digits as its factorization.

56495232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5454 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 56495232 is about 7516.3310198527. The cubic root of 56495232 is about 383.7107196299.

The spelling of 56495232 in words is "fifty-six million, four hundred ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5449 10368 10898 16347 21796 32694 43592 49041 65388 87184 98082 130776 147123 174368 196164 261552 294246 348736 392328 441369 523104 588492 697472 784656 882738 1046208 1176984 1569312 1765476 2092416 2353968 3138624 3530952 4707936 6277248 7061904 9415872 14123808 18831744 28247616 56495232