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56661984 = 253365581
BaseRepresentation
bin1101100000100…
…1011111100000
310221121201122000
43120021133200
5104001140414
65342244000
71255422201
oct330113740
9127551560
1056661984
1129a90a95
1216b86600
13b97b802
14774d5a8
154e93b09
hex36097e0

56661984 has 48 divisors (see below), whose sum is σ = 165266640. Its totient is φ = 18887040.

The previous prime is 56661973. The next prime is 56662013. The reversal of 56661984 is 48916665.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31927 + ... + 33654.

It is an arithmetic number, because the mean of its divisors is an integer number (3443055).

Almost surely, 256661984 is an apocalyptic number.

56661984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

56661984 is an abundant number, since it is smaller than the sum of its proper divisors (108604656).

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

56661984 is a wasteful number, since it uses less digits than its factorization.

56661984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65600 (or 65586 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 56661984 is about 7527.4154927173. The cubic root of 56661984 is about 384.0878705161.

The spelling of 56661984 in words is "fifty-six million, six hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 65581 131162 196743 262324 393486 524648 590229 786972 1049296 1180458 1573944 1770687 2098592 2360916 3147888 3541374 4721832 6295776 7082748 9443664 14165496 18887328 28330992 56661984