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56000916 = 22334112647
BaseRepresentation
bin1101010110100…
…0000110010100
310220101010211000
43111220012110
5103314012131
65320143300
71246666656
oct325500624
9126333730
1056000916
112967a354
1216907b30
13b7a994a
14761a6d6
154db2ce6
hex3568194

56000916 has 48 divisors (see below), whose sum is σ = 148740480. Its totient is φ = 18210240.

The previous prime is 56000899. The next prime is 56000927. The reversal of 56000916 is 61900065.

It is a super-2 number, since 2×560009162 = 6272205185678112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 56000916.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (3098760).

Almost surely, 256000916 is an apocalyptic number.

It is an amenable number.

56000916 is an abundant number, since it is smaller than the sum of its proper divisors (92739564).

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

56000916 is a wasteful number, since it uses less digits than its factorization.

56000916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12701 (or 12693 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 56000916 is about 7483.3759761220. The cubic root of 56000916 is about 382.5883225490.

The spelling of 56000916 in words is "fifty-six million, nine hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 492 738 1107 1476 2214 4428 12647 25294 37941 50588 75882 113823 151764 227646 341469 455292 518527 682938 1037054 1365876 1555581 2074108 3111162 4666743 6222324 9333486 14000229 18666972 28000458 56000916