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56536116 = 223713232251
BaseRepresentation
bin1101011110101…
…0110000110100
310221101022222020
43113222300310
5103433123431
65335433140
71254356220
oct327526064
9127338866
1056536116
1129a0546a
1216b257b0
13b936430
147719780
154e6b696
hex35eac34

56536116 has 96 divisors (see below), whose sum is σ = 169494528. Its totient is φ = 14256000.

The previous prime is 56536079. The next prime is 56536133. The reversal of 56536116 is 61163565.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23991 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (1765568).

Almost surely, 256536116 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 56536116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84747264).

56536116 is an abundant number, since it is smaller than the sum of its proper divisors (112958412).

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

56536116 is a wasteful number, since it uses less digits than its factorization.

56536116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2299 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 56536116 is about 7519.0502059768. The cubic root of 56536116 is about 383.8032575061.

The spelling of 56536116 in words is "fifty-six million, five hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 23 26 28 39 42 46 52 69 78 84 91 92 138 156 161 182 273 276 299 322 364 483 546 598 644 897 966 1092 1196 1794 1932 2093 2251 3588 4186 4502 6279 6753 8372 9004 12558 13506 15757 25116 27012 29263 31514 47271 51773 58526 63028 87789 94542 103546 117052 155319 175578 189084 204841 207092 310638 351156 362411 409682 614523 621276 673049 724822 819364 1087233 1229046 1346098 1449644 2019147 2174466 2458092 2692196 4038294 4348932 4711343 8076588 9422686 14134029 18845372 28268058 56536116