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56623131 = 35435419
BaseRepresentation
bin1101100000000…
…0000000011011
310221112202100000
43120000000123
5103443420011
65341344043
71255201005
oct330000033
9127482300
1056623131
1129a64884
1216b68023
13b966c16
14773d375
154e87356
hex360001b

56623131 has 24 divisors (see below), whose sum is σ = 86806720. Its totient is φ = 36864072.

The previous prime is 56623093. The next prime is 56623153. The reversal of 56623131 is 13132665.

56623131 is a `hidden beast` number, since 5 + 6 + 623 + 1 + 31 = 666.

56623131 is nontrivially palindromic in base 2 and base 8.

It is not a de Polignac number, because 56623131 - 218 = 56360987 is a prime.

It is a super-2 number, since 2×566231312 = 6412357928486322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 56623095 and 56623104.

It is not an unprimeable number, because it can be changed into a prime (56623031) 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, 7740 + ... + 13158.

Almost surely, 256623131 is an apocalyptic number.

56623131 is a deficient number, since it is larger than the sum of its proper divisors (30183589).

56623131 is an equidigital number, since it uses as much as digits as its factorization.

56623131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5465 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 56623131 is about 7524.8342838896. The cubic root of 56623131 is about 384.0000610351. Note that the first 4 decimals are identical.

Subtracting from 56623131 its sum of digits (27), we obtain a cube (56623104 = 3843).

Adding to 56623131 its reverse (13132665), we get a palindrome (69755796).

The spelling of 56623131 in words is "fifty-six million, six hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 5419 10449 16257 48771 146313 233017 438939 699051 1316817 2097153 6291459 18874377 56623131