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56417085 = 32510112413
BaseRepresentation
bin1101011100110…
…1101100111101
310221011021200200
43113031230331
5103420321320
65333114113
71253352204
oct327155475
9127137620
1056417085
1129933a9a
1216a88939
13b8c41ba
1476c823b
154e46290
hex35cdb3d

56417085 has 24 divisors (see below), whose sum is σ = 98765784. Its totient is φ = 29788800.

The previous prime is 56417063. The next prime is 56417111. The reversal of 56417085 is 58071465.

56417085 is a `hidden beast` number, since 5 + 641 + 7 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13527684 + 42889401 = 3678^2 + 6549^2 .

It is not a de Polignac number, because 56417085 - 26 = 56417021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1662 + ... + 10751.

It is an arithmetic number, because the mean of its divisors is an integer number (4115241).

Almost surely, 256417085 is an apocalyptic number.

It is an amenable number.

56417085 is a deficient number, since it is larger than the sum of its proper divisors (42348699).

56417085 is a wasteful number, since it uses less digits than its factorization.

56417085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12525 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56417085 is about 7511.1307404411. The cubic root of 56417085 is about 383.5337154407.

The spelling of 56417085 in words is "fifty-six million, four hundred seventeen thousand, eighty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 12413 37239 62065 111717 186195 558585 1253713 3761139 6268565 11283417 18805695 56417085