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56526528 = 2633773109
BaseRepresentation
bin1101011110100…
…0011011000000
310221100211211010
43113220123000
5103432322103
65335320520
71254316242
oct327503300
9127324733
1056526528
11299a9243
1216b20140
13b931c66
147716092
154e68903
hex35e86c0

56526528 has 112 divisors (see below), whose sum is σ = 157134560. Its totient is φ = 17915904.

The previous prime is 56526527. The next prime is 56526529. The reversal of 56526528 is 82562565.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56526527) and next prime (56526529).

It is not an unprimeable number, because it can be changed into a prime (56526527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518538 + ... + 518646.

Almost surely, 256526528 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 56526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78567280).

56526528 is an abundant number, since it is smaller than the sum of its proper divisors (100608032).

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

56526528 is a wasteful number, since it uses less digits than its factorization.

56526528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 56526528 is about 7518.4125984146. The cubic root of 56526528 is about 383.7815597906.

The spelling of 56526528 in words is "fifty-six million, five hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 73 74 96 109 111 146 148 192 218 219 222 292 296 327 436 438 444 584 592 654 872 876 888 1168 1184 1308 1744 1752 1776 2336 2368 2616 2701 3488 3504 3552 4033 4672 5232 5402 6976 7008 7104 7957 8066 8103 10464 10804 12099 14016 15914 16132 16206 20928 21608 23871 24198 31828 32264 32412 43216 47742 48396 63656 64528 64824 86432 95484 96792 127312 129056 129648 172864 190968 193584 254624 258112 259296 294409 381936 387168 509248 518592 588818 763872 774336 883227 1177636 1527744 1766454 2355272 3532908 4710544 7065816 9421088 14131632 18842176 28263264 56526528