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56505564 = 22321569599
BaseRepresentation
bin1101011110001…
…1010011011100
310221022210001200
43113203103130
5103431134224
65335035500
71254201153
oct327432334
9127283050
1056505564
1129994515
1216b0bb90
13b92555b
14770c59a
154e625c9
hex35e34dc

56505564 has 18 divisors (see below), whose sum is σ = 142833600. Its totient is φ = 18835176.

The previous prime is 56505557. The next prime is 56505607. The reversal of 56505564 is 46550565.

It is a happy number.

56505564 is a `hidden beast` number, since 56 + 50 + 556 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1569599 = 56505564 / (5 + 6 + 5 + 0 + 5 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 784764 + ... + 784835.

It is an arithmetic number, because the mean of its divisors is an integer number (7935200).

Almost surely, 256505564 is an apocalyptic number.

It is an amenable number.

56505564 is an abundant number, since it is smaller than the sum of its proper divisors (86328036).

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

56505564 is a wasteful number, since it uses less digits than its factorization.

56505564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569609 (or 1569604 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 56505564 is about 7517.0182918495. The cubic root of 56505564 is about 383.7341095536.

The spelling of 56505564 in words is "fifty-six million, five hundred five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1569599 3139198 4708797 6278396 9417594 14126391 18835188 28252782 56505564