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56806640 = 2451164553
BaseRepresentation
bin1101100010110…
…0110011110000
310221220002001122
43120230303300
5104020303030
65345321412
71256564012
oct330546360
9127802048
1056806640
112a07a740
1217036268
13b9cc5c7
14778a1b2
154ec18e5
hex362ccf0

56806640 has 40 divisors (see below), whose sum is σ = 144084528. Its totient is φ = 20656640.

The previous prime is 56806591. The next prime is 56806657. The reversal of 56806640 is 4660865.

56806640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 56806640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31397 + ... + 33156.

Almost surely, 256806640 is an apocalyptic number.

It is an amenable number.

56806640 is an abundant number, since it is smaller than the sum of its proper divisors (87277888).

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

56806640 is a wasteful number, since it uses less digits than its factorization.

56806640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64577 (or 64571 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 56806640 is about 7537.0179779539. The cubic root of 56806640 is about 384.4144469177.

The spelling of 56806640 in words is "fifty-six million, eight hundred six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 64553 129106 258212 322765 516424 645530 710083 1032848 1291060 1420166 2582120 2840332 3550415 5164240 5680664 7100830 11361328 14201660 28403320 56806640