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56578585 = 572230933
BaseRepresentation
bin1101011111010…
…1001000011001
310221110111020011
43113311020121
5103441003320
65340401521
71254624100
oct327651031
9127414204
1056578585
1129a34368
1216b462a1
13b94c86b
14772b037
154e7905a
hex35f5219

56578585 has 12 divisors (see below), whose sum is σ = 78979428. Its totient is φ = 38796576.

The previous prime is 56578573. The next prime is 56578589. The reversal of 56578585 is 58587565.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 46389721 = 3192^2 + 6811^2 .

It is not a de Polignac number, because 56578585 - 217 = 56447513 is a prime.

It is a super-2 number, since 2×565785852 = 6402272561204450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56578589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115222 + ... + 115711.

It is an arithmetic number, because the mean of its divisors is an integer number (6581619).

Almost surely, 256578585 is an apocalyptic number.

It is an amenable number.

56578585 is a deficient number, since it is larger than the sum of its proper divisors (22400843).

56578585 is a wasteful number, since it uses less digits than its factorization.

56578585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230952 (or 230945 counting only the distinct ones).

The product of its digits is 1680000, while the sum is 49.

The square root of 56578585 is about 7521.8737692147. The cubic root of 56578585 is about 383.8993356831.

The spelling of 56578585 in words is "fifty-six million, five hundred seventy-eight thousand, five hundred eighty-five".

Divisors: 1 5 7 35 49 245 230933 1154665 1616531 8082655 11315717 56578585