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56405808 = 243471613
BaseRepresentation
bin1101011100101…
…0111100110000
310221010201020000
43113022330300
5103414441213
65332550000
71253304264
oct327127460
9127121200
1056405808
1129926578
1216a82300
13b8bc024
1476c40a4
154e42c73
hex35caf30

56405808 has 100 divisors (see below), whose sum is σ = 165824208. Its totient is φ = 18506880.

The previous prime is 56405747. The next prime is 56405819. The reversal of 56405808 is 80850465.

It is a happy number.

56405808 is a `hidden beast` number, since 5 + 640 + 5 + 8 + 0 + 8 = 666.

It is a super-2 number, since 2×564058082 = 6363230352265728, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 91710 + ... + 92322.

Almost surely, 256405808 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 56405808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82912104).

56405808 is an abundant number, since it is smaller than the sum of its proper divisors (109418400).

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

56405808 is a wasteful number, since it uses less digits than its factorization.

56405808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 56405808 is about 7510.3800170164. The cubic root of 56405808 is about 383.5081593648.

The spelling of 56405808 in words is "fifty-six million, four hundred five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 613 639 648 852 1136 1226 1278 1296 1704 1839 1917 2452 2556 3408 3678 3834 4904 5112 5517 5751 7356 7668 9808 10224 11034 11502 14712 15336 16551 22068 23004 29424 30672 33102 43523 44136 46008 49653 66204 87046 88272 92016 99306 130569 132408 174092 198612 261138 264816 348184 391707 397224 522276 696368 783414 794448 1044552 1175121 1566828 2089104 2350242 3133656 3525363 4700484 6267312 7050726 9400968 14101452 18801936 28202904 56405808