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56468401 = 1123712613
BaseRepresentation
bin1101011101101…
…0001110110001
310221020220002021
43113122032301
5103423442101
65334151441
71253654623
oct327321661
9127226067
1056468401
1129969600
1216ab2581
13b911672
1476dcc13
154e565a1
hex35da3b1

56468401 has 12 divisors (see below), whose sum is σ = 63751156. Its totient is φ = 49943520.

The previous prime is 56468383. The next prime is 56468429. The reversal of 56468401 is 10486465.

56468401 = T310 + T311 + ... + T716.

It can be written as a sum of positive squares in 2 ways, for example, as 38626225 + 17842176 = 6215^2 + 4224^2 .

It is not a de Polignac number, because 56468401 - 27 = 56468273 is a prime.

It is a super-2 number, since 2×564684012 = 6377360622993602, 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 (56468491) 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, 1830 + ... + 10783.

Almost surely, 256468401 is an apocalyptic number.

It is an amenable number.

56468401 is a deficient number, since it is larger than the sum of its proper divisors (7282755).

56468401 is a wasteful number, since it uses less digits than its factorization.

56468401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12661 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 56468401 is about 7514.5459610012. The cubic root of 56468401 is about 383.6499654021.

The spelling of 56468401 in words is "fifty-six million, four hundred sixty-eight thousand, four hundred one".

Divisors: 1 11 37 121 407 4477 12613 138743 466681 1526173 5133491 56468401