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56455812 = 22337531409
BaseRepresentation
bin1101011101011…
…1001010000100
310221020020211000
43113113022010
5103423041222
65334013300
71253603130
oct327271204
9127206730
1056455812
11299600a6
1216aa7230
13b908a0a
1476d83c0
154e529ac
hex35d7284

56455812 has 96 divisors (see below), whose sum is σ = 170553600. Its totient is φ = 15814656.

The previous prime is 56455807. The next prime is 56455813. The reversal of 56455812 is 21855465.

56455812 is a `hidden beast` number, since 5 + 645 + 5 + 8 + 1 + 2 = 666.

56455812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56455813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39364 + ... + 40772.

It is an arithmetic number, because the mean of its divisors is an integer number (1776600).

Almost surely, 256455812 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 56455812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85276800).

56455812 is an abundant number, since it is smaller than the sum of its proper divisors (114097788).

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

56455812 is a wasteful number, since it uses less digits than its factorization.

56455812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 56455812 is about 7513.7082722182. The cubic root of 56455812 is about 383.6214531233.

The spelling of 56455812 in words is "fifty-six million, four hundred fifty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1409 1431 1484 1908 2226 2818 2862 3339 4227 4452 5636 5724 6678 8454 9863 10017 12681 13356 16908 19726 20034 25362 29589 38043 39452 40068 50724 59178 74677 76086 88767 118356 149354 152172 177534 224031 266301 298708 355068 448062 522739 532602 672093 896124 1045478 1065204 1344186 1568217 2016279 2090956 2688372 3136434 4032558 4704651 6272868 8065116 9409302 14113953 18818604 28227906 56455812