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56313656 = 23717149397
BaseRepresentation
bin1101011011010…
…0011100111000
310220222000210222
43112310130320
5103404014111
65330555212
71252441520
oct326643470
9126860728
1056313656
1129873313
1216a38b08
13b8890b9
14769c680
154e257db
hex35b4738

56313656 has 64 divisors (see below), whose sum is σ = 128952000. Its totient is φ = 22505472.

The previous prime is 56313643. The next prime is 56313659. The reversal of 56313656 is 65631365.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56313659) 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, 141650 + ... + 142046.

It is an arithmetic number, because the mean of its divisors is an integer number (2014875).

Almost surely, 256313656 is an apocalyptic number.

56313656 is a gapful number since it is divisible by the number (56) 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 56313656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64476000).

56313656 is an abundant number, since it is smaller than the sum of its proper divisors (72638344).

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

56313656 is a wasteful number, since it uses less digits than its factorization.

56313656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its digits is 48600, while the sum is 35.

The square root of 56313656 is about 7504.2425333940. The cubic root of 56313656 is about 383.2991956157.

The spelling of 56313656 in words is "fifty-six million, three hundred thirteen thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 149 238 298 397 476 596 794 952 1043 1192 1588 2086 2533 2779 3176 4172 5066 5558 6749 8344 10132 11116 13498 17731 20264 22232 26996 35462 47243 53992 59153 70924 94486 118306 141848 188972 236612 377944 414071 473224 828142 1005601 1656284 2011202 3312568 4022404 7039207 8044808 14078414 28156828 56313656