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56854644 = 223711371663
BaseRepresentation
bin1101100011100…
…0100001110100
310221222111220120
43120320201310
5104023322034
65350331540
71260153660
oct330704164
9127874816
1056854644
112a102810
1217059bb0
13ba18402
14779d8a0
154ed0c49
hex3638874

56854644 has 96 divisors (see below), whose sum is σ = 169967616. Its totient is φ = 14359680.

The previous prime is 56854639. The next prime is 56854657. The reversal of 56854644 is 44645865.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 56854596 and 56854605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33357 + ... + 35019.

It is an arithmetic number, because the mean of its divisors is an integer number (1770496).

Almost surely, 256854644 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 56854644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84983808).

56854644 is an abundant number, since it is smaller than the sum of its proper divisors (113112972).

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

56854644 is a wasteful number, since it uses less digits than its factorization.

56854644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1723 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 56854644 is about 7540.2018540620. The cubic root of 56854644 is about 384.5226985562.

The spelling of 56854644 in words is "fifty-six million, eight hundred fifty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 777 814 924 1036 1221 1554 1628 1663 2442 2849 3108 3326 4884 4989 5698 6652 8547 9978 11396 11641 17094 18293 19956 23282 34188 34923 36586 46564 54879 61531 69846 73172 109758 123062 128051 139692 184593 219516 246124 256102 369186 384153 430717 512204 676841 738372 768306 861434 1292151 1353682 1536612 1722868 2030523 2584302 2707364 4061046 4737887 5168604 8122092 9475774 14213661 18951548 28427322 56854644