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56306688 = 210318329
BaseRepresentation
bin1101011011001…
…0110000000000
310220221200020220
43112302300000
5103403303223
65330503040
71252412304
oct326626000
9126850226
1056306688
1129869059
1216a34a80
13b885b89
147699d04
154e236e3
hex35b2c00

56306688 has 44 divisors (see below), whose sum is σ = 150086040. Its totient is φ = 18767872.

The previous prime is 56306683. The next prime is 56306693. The reversal of 56306688 is 88660365.

It is an interprime number because it is at equal distance from previous prime (56306683) and next prime (56306693).

It is a super-2 number, since 2×563066882 = 6340886227058688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (56306683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6093 + ... + 12236.

Almost surely, 256306688 is an apocalyptic number.

It is an amenable number.

56306688 is an abundant number, since it is smaller than the sum of its proper divisors (93779352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56306688 is a wasteful number, since it uses less digits than its factorization.

56306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18352 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 56306688 is about 7503.7782483226. The cubic root of 56306688 is about 383.2833857207.

The spelling of 56306688 in words is "fifty-six million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 3072 18329 36658 54987 73316 109974 146632 219948 293264 439896 586528 879792 1173056 1759584 2346112 3519168 4692224 7038336 9384448 14076672 18768896 28153344 56306688