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56468412 = 2232711131567
BaseRepresentation
bin1101011101101…
…0001110111100
310221020220002200
43113122032330
5103423442122
65334151500
71253654640
oct327321674
9127226080
1056468412
1129969610
1216ab2590
13b911680
1476dcc20
154e565ac
hex35da3bc

56468412 has 144 divisors (see below), whose sum is σ = 191772672. Its totient is φ = 13530240.

The previous prime is 56468383. The next prime is 56468429. The reversal of 56468412 is 21486465.

56468412 is a `hidden beast` number, since 5 + 646 + 8 + 4 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35253 + ... + 36819.

Almost surely, 256468412 is an apocalyptic number.

56468412 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56468412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95886336).

56468412 is an abundant number, since it is smaller than the sum of its proper divisors (135304260).

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

56468412 is a wasteful number, since it uses less digits than its factorization.

56468412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1603 counting only the distinct ones).

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

The square root of 56468412 is about 7514.5466929150. The cubic root of 56468412 is about 383.6499903136.

The spelling of 56468412 in words is "fifty-six million, four hundred sixty-eight thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1567 1638 1716 2002 2574 2772 3003 3134 3276 4004 4701 5148 6006 6268 9009 9402 10969 12012 14103 17237 18018 18804 20371 21938 28206 32907 34474 36036 40742 43876 51711 56412 61113 65814 68948 81484 98721 103422 120659 122226 131628 142597 155133 183339 197442 206844 224081 241318 244452 285194 310266 361977 366678 394884 427791 448162 482636 570388 620532 672243 723954 733356 855582 896324 1085931 1283373 1344486 1447908 1568567 1711164 2016729 2171862 2566746 2688972 3137134 4033458 4343724 4705701 5133492 6274268 8066916 9411402 14117103 18822804 28234206 56468412