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56347812 = 2235291999
BaseRepresentation
bin1101011011110…
…0110010100100
310221000202200000
43112330302210
5103411112222
65331421300
71252643223
oct326746244
9127022600
1056347812
1129896a44
1216a54830
13b89b801
1476aacba
154e309ac
hex35bcca4

56347812 has 72 divisors (see below), whose sum is σ = 152880000. Its totient is φ = 18125856.

The previous prime is 56347807. The next prime is 56347813. The reversal of 56347812 is 21874365.

56347812 is a `hidden beast` number, since 5 + 634 + 7 + 8 + 12 = 666.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56347813) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27189 + ... + 29187.

Almost surely, 256347812 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 56347812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76440000).

56347812 is an abundant number, since it is smaller than the sum of its proper divisors (96532188).

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

56347812 is a wasteful number, since it uses less digits than its factorization.

56347812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2047 (or 2033 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 56347812 is about 7506.5179677398. The cubic root of 56347812 is about 383.3766742846.

The spelling of 56347812 in words is "fifty-six million, three hundred forty-seven thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 783 972 1044 1566 1999 2349 3132 3998 4698 5997 7047 7996 9396 11994 14094 17991 23988 28188 35982 53973 57971 71964 107946 115942 161919 173913 215892 231884 323838 347826 485757 521739 647676 695652 971514 1043478 1565217 1943028 2086956 3130434 4695651 6260868 9391302 14086953 18782604 28173906 56347812