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56862144 = 2632175807
BaseRepresentation
bin1101100011101…
…0010111000000
310221222220012100
43120322113000
5104024042034
65350430400
71260214563
oct330722700
9127886170
1056862144
112a108409
1217062400
13ba1b951
1477a24da
154ed3099
hex363a5c0

56862144 has 84 divisors (see below), whose sum is σ = 172602144. Its totient is φ = 17836032.

The previous prime is 56862137. The next prime is 56862149. The reversal of 56862144 is 44126865.

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

It is a junction number, because it is equal to n+sod(n) for n = 56862099 and 56862108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56862149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6889 + ... + 12695.

Almost surely, 256862144 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 56862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86301072).

56862144 is an abundant number, since it is smaller than the sum of its proper divisors (115740000).

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

56862144 is a wasteful number, since it uses less digits than its factorization.

56862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5829 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56862144 is about 7540.6991718275. The cubic root of 56862144 is about 384.5396059610.

The spelling of 56862144 in words is "fifty-six million, eight hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 5807 9792 11614 17421 23228 34842 46456 52263 69684 92912 98719 104526 139368 185824 197438 209052 278736 296157 371648 394876 418104 557472 592314 789752 836208 888471 1114944 1184628 1579504 1672416 1776942 2369256 3159008 3344832 3553884 4738512 6318016 7107768 9477024 14215536 18954048 28431072 56862144