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56309409 = 32132411997
BaseRepresentation
bin1101011011001…
…1011010100001
310220221210222200
43112303122201
5103403400114
65330523413
71252423242
oct326633241
9126853880
1056309409
1129870102
1216a36569
13b8871a0
14769acc9
154e24409
hex35b36a1

56309409 has 24 divisors (see below), whose sum is σ = 87999912. Its totient is φ = 34490880.

The previous prime is 56309401. The next prime is 56309417. The reversal of 56309409 is 90490365.

56309409 is a `hidden beast` number, since 563 + 0 + 94 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (56309401) and next prime (56309417).

It can be written as a sum of positive squares in 4 ways, for example, as 14400 + 56295009 = 120^2 + 7503^2 .

It is not a de Polignac number, because 56309409 - 23 = 56309401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56309401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27199 + ... + 29195.

It is an arithmetic number, because the mean of its divisors is an integer number (3666663).

Almost surely, 256309409 is an apocalyptic number.

It is an amenable number.

56309409 is a deficient number, since it is larger than the sum of its proper divisors (31690503).

56309409 is a wasteful number, since it uses less digits than its factorization.

56309409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 56309409 is about 7503.9595547951. The cubic root of 56309409 is about 383.2895596309.

The spelling of 56309409 in words is "fifty-six million, three hundred nine thousand, four hundred nine".

Divisors: 1 3 9 13 39 117 241 723 1997 2169 3133 5991 9399 17973 25961 28197 77883 233649 481277 1443831 4331493 6256601 18769803 56309409