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56604312 = 2333271967
BaseRepresentation
bin1101011111101…
…1011010011000
310221111210112000
43113323122120
5103442314222
65341121000
71255062102
oct327733230
9127453460
1056604312
1129a51726
1216b59160
13b95b49b
147736572
154e819ac
hex35fb698

56604312 has 64 divisors (see below), whose sum is σ = 157977600. Its totient is φ = 18779040.

The previous prime is 56604293. The next prime is 56604319. The reversal of 56604312 is 21340665.

56604312 is a `hidden beast` number, since 56 + 604 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56604319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58053 + ... + 59019.

It is an arithmetic number, because the mean of its divisors is an integer number (2468400).

Almost surely, 256604312 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 56604312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988800).

56604312 is an abundant number, since it is smaller than the sum of its proper divisors (101373288).

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

56604312 is a wasteful number, since it uses less digits than its factorization.

56604312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 56604312 is about 7523.5837205417. The cubic root of 56604312 is about 383.9575148309.

Adding to 56604312 its reverse (21340665), we get a palindrome (77944977).

The spelling of 56604312 in words is "fifty-six million, six hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 271 542 813 967 1084 1626 1934 2168 2439 2901 3252 3868 4878 5802 6504 7317 7736 8703 9756 11604 14634 17406 19512 23208 26109 29268 34812 52218 58536 69624 104436 208872 262057 524114 786171 1048228 1572342 2096456 2358513 3144684 4717026 6289368 7075539 9434052 14151078 18868104 28302156 56604312