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56537568 = 253365437
BaseRepresentation
bin1101011110101…
…1000111100000
310221101101222000
43113223013200
5103433200233
65335444000
71254363363
oct327530740
9127341860
1056537568
1129a0656a
1216b26600
13b936ca9
14771a0da
154e6bd13
hex35eb1e0

56537568 has 48 divisors (see below), whose sum is σ = 164903760. Its totient is φ = 18845568.

The previous prime is 56537549. The next prime is 56537599. The reversal of 56537568 is 86573565.

56537568 is a `hidden beast` number, since 56 + 5 + 37 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31855 + ... + 33582.

It is an arithmetic number, because the mean of its divisors is an integer number (3435495).

Almost surely, 256537568 is an apocalyptic number.

It is an amenable number.

56537568 is an abundant number, since it is smaller than the sum of its proper divisors (108366192).

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

56537568 is a wasteful number, since it uses less digits than its factorization.

56537568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65456 (or 65442 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 56537568 is about 7519.1467601052. The cubic root of 56537568 is about 383.8065431790.

The spelling of 56537568 in words is "fifty-six million, five hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 65437 130874 196311 261748 392622 523496 588933 785244 1046992 1177866 1570488 1766799 2093984 2355732 3140976 3533598 4711464 6281952 7067196 9422928 14134392 18845856 28268784 56537568