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56230956 = 22331967409
BaseRepresentation
bin1101011010000…
…0010000101100
310220210211101000
43112200100230
5103343342311
65325120300
71251645435
oct326402054
9126724330
1056230956
1129817171
12169b9090
13b85a572
14767a48c
154e0b056
hex35a042c

56230956 has 96 divisors (see below), whose sum is σ = 156128000. Its totient is φ = 17449344.

The previous prime is 56230939. The next prime is 56230957. The reversal of 56230956 is 65903265.

56230956 is a `hidden beast` number, since 562 + 3 + 0 + 95 + 6 = 666.

It is a super-3 number, since 3×562309563 (a number of 24 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56230956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56230957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137280 + ... + 137688.

Almost surely, 256230956 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 56230956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78064000).

56230956 is an abundant number, since it is smaller than the sum of its proper divisors (99897044).

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

56230956 is a wasteful number, since it uses less digits than its factorization.

56230956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 56230956 is about 7498.7302925229. The cubic root of 56230956 is about 383.1114710291. Note that the first 3 decimals are identical.

The spelling of 56230956 in words is "fifty-six million, two hundred thirty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 67 76 108 114 134 171 201 228 268 342 402 409 513 603 684 804 818 1026 1206 1227 1273 1636 1809 2052 2412 2454 2546 3618 3681 3819 4908 5092 7236 7362 7638 7771 11043 11457 14724 15276 15542 22086 22914 23313 27403 31084 34371 44172 45828 46626 54806 68742 69939 82209 93252 109612 137484 139878 164418 209817 246627 279756 328836 419634 493254 520657 739881 839268 986508 1041314 1479762 1561971 2082628 2959524 3123942 4685913 6247884 9371826 14057739 18743652 28115478 56230956