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56688461 = 891574057
BaseRepresentation
bin1101100000111…
…1111101001101
310221200001221122
43120033331031
5104003012321
65343010325
71255562324
oct330177515
9127601848
1056688461
1129aa9975
1216b999a5
13b98a88b
1477590bb
154e9b8ab
hex360ff4d

56688461 has 8 divisors (see below), whose sum is σ = 57704760. Its totient is φ = 55680768.

The previous prime is 56688451. The next prime is 56688469. The reversal of 56688461 is 16488665.

It can be written as a sum of positive squares in 4 ways, for example, as 902500 + 55785961 = 950^2 + 7469^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-56688461 is a prime.

It is a super-2 number, since 2×566884612 = 6427163221097042, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56688469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11945 + ... + 16001.

It is an arithmetic number, because the mean of its divisors is an integer number (7213095).

Almost surely, 256688461 is an apocalyptic number.

It is an amenable number.

56688461 is a deficient number, since it is larger than the sum of its proper divisors (1016299).

56688461 is a wasteful number, since it uses less digits than its factorization.

56688461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4303.

The product of its digits is 276480, while the sum is 44.

The square root of 56688461 is about 7529.1739918799. The cubic root of 56688461 is about 384.1476867000.

The spelling of 56688461 in words is "fifty-six million, six hundred eighty-eight thousand, four hundred sixty-one".

Divisors: 1 89 157 4057 13973 361073 636949 56688461