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56268369 = 3219933137
BaseRepresentation
bin1101011010100…
…1011001010001
310220212201200200
43112221121101
5103401041434
65330005413
71252162503
oct326513121
9126781620
1056268369
1129842293
1216a16869
13b8715c1
147689d73
154e17199
hex35a9651

56268369 has 12 divisors (see below), whose sum is σ = 81343236. Its totient is φ = 37481472.

The previous prime is 56268349. The next prime is 56268371. The reversal of 56268369 is 96386265.

It is a happy number.

56268369 is a `hidden beast` number, since 562 + 6 + 83 + 6 + 9 = 666.

56268369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 51667344 + 4601025 = 7188^2 + 2145^2 .

It is not a de Polignac number, because 56268369 - 25 = 56268337 is a prime.

It is a super-2 number, since 2×562683692 = 6332258699840322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56268319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16369 + ... + 19505.

It is an arithmetic number, because the mean of its divisors is an integer number (6778603).

Almost surely, 256268369 is an apocalyptic number.

It is an amenable number.

56268369 is a deficient number, since it is larger than the sum of its proper divisors (25074867).

56268369 is a wasteful number, since it uses less digits than its factorization.

56268369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5136 (or 5133 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 56268369 is about 7501.2245000400. The cubic root of 56268369 is about 383.1964193256.

The spelling of 56268369 in words is "fifty-six million, two hundred sixty-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 1993 3137 5979 9411 17937 28233 6252041 18756123 56268369