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56106568 = 237423127
BaseRepresentation
bin1101011000000…
…1111001001000
310220120111202001
43112001321020
5103330402233
65322320344
71250620000
oct326017110
9126514661
1056106568
1129741771
12169590b4
13b815a6b
147647000
154dd427d
hex3581e48

56106568 has 80 divisors (see below), whose sum is σ = 129070080. Its totient is φ = 22819104.

The previous prime is 56106539. The next prime is 56106571. The reversal of 56106568 is 86560165.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 441721 + ... + 441847.

It is an arithmetic number, because the mean of its divisors is an integer number (1613376).

Almost surely, 256106568 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 56106568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64535040).

56106568 is an abundant number, since it is smaller than the sum of its proper divisors (72963512).

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

56106568 is a wasteful number, since it uses less digits than its factorization.

56106568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 56106568 is about 7490.4317632564. The cubic root of 56106568 is about 382.8287699752.

The spelling of 56106568 in words is "fifty-six million, one hundred six thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 127 161 184 196 254 322 343 392 508 644 686 889 1016 1127 1288 1372 1778 2254 2401 2744 2921 3556 4508 4802 5842 6223 7112 7889 9016 9604 11684 12446 15778 19208 20447 23368 24892 31556 40894 43561 49784 55223 63112 81788 87122 110446 143129 163576 174244 220892 286258 304927 348488 441784 572516 609854 1001903 1145032 1219708 2003806 2439416 4007612 7013321 8015224 14026642 28053284 56106568