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56556192 = 25372111093
BaseRepresentation
bin1101011110111…
…1101010100000
310221102100111210
43113233222200
5103434244232
65340110120
71254501600
oct327575240
9127370453
1056556192
1129a19560
1216b35340
13b942604
147722c00
154e725cc
hex35efaa0

56556192 has 144 divisors (see below), whose sum is σ = 188570592. Its totient is φ = 14676480.

The previous prime is 56556187. The next prime is 56556197. The reversal of 56556192 is 29165565.

It is an interprime number because it is at equal distance from previous prime (56556187) and next prime (56556197).

It is a self number, because there is not a number n which added to its sum of digits gives 56556192.

It is not an unprimeable number, because it can be changed into a prime (56556197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51198 + ... + 52290.

It is an arithmetic number, because the mean of its divisors is an integer number (1309518).

Almost surely, 256556192 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 56556192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94285296).

56556192 is an abundant number, since it is smaller than the sum of its proper divisors (132014400).

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

56556192 is a wasteful number, since it uses less digits than its factorization.

56556192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1116 counting only the distinct ones).

The product of its digits is 81000, while the sum is 39.

The square root of 56556192 is about 7520.3850965227. The cubic root of 56556192 is about 383.8486816991.

The spelling of 56556192 in words is "fifty-six million, five hundred fifty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1093 1176 1232 1568 1617 1848 2156 2186 2352 2464 3234 3279 3696 4312 4372 4704 6468 6558 7392 7651 8624 8744 12023 12936 13116 15302 17248 17488 22953 24046 25872 26232 30604 34976 36069 45906 48092 51744 52464 53557 61208 72138 84161 91812 96184 104928 107114 122416 144276 160671 168322 183624 192368 214228 244832 252483 288552 321342 336644 367248 384736 428456 504966 577104 589127 642684 673288 734496 856912 1009932 1154208 1178254 1285368 1346576 1713824 1767381 2019864 2356508 2570736 2693152 3534762 4039728 4713016 5141472 7069524 8079456 9426032 14139048 18852064 28278096 56556192