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56624620 = 225131723557
BaseRepresentation
bin1101100000000…
…0010111101100
310221112211101011
43120000113230
5103443441440
65341355004
71255205233
oct330002754
9127484334
1056624620
1129a65a08
1216b68a64
13b9677c0
14773db1a
154e879ea
hex36005ec

56624620 has 96 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 18788352.

The previous prime is 56624609. The next prime is 56624627. The reversal of 56624620 is 2642665.

It is not an unprimeable number, because it can be changed into a prime (56624627) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101382 + ... + 101938.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 256624620 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 56624620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

56624620 is an abundant number, since it is smaller than the sum of its proper divisors (85116308).

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

56624620 is a wasteful number, since it uses less digits than its factorization.

56624620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 56624620 is about 7524.9332222951. The cubic root of 56624620 is about 384.0034269804.

The spelling of 56624620 in words is "fifty-six million, six hundred twenty-four thousand, six hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 23 26 34 46 52 65 68 85 92 115 130 170 221 230 260 299 340 391 442 460 557 598 782 884 1105 1114 1196 1495 1564 1955 2210 2228 2785 2990 3910 4420 5083 5570 5980 7241 7820 9469 10166 11140 12811 14482 18938 20332 25415 25622 28964 36205 37876 47345 50830 51244 64055 72410 94690 101660 123097 128110 144820 166543 189380 217787 246194 256220 333086 435574 492388 615485 666172 832715 871148 1088935 1230970 1665430 2177870 2461940 2831231 3330860 4355740 5662462 11324924 14156155 28312310 56624620