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56264288 = 2517591753
BaseRepresentation
bin1101011010100…
…0011001100000
310220212112002112
43112220121200
5103400424123
65325534452
71252144553
oct326503140
9126775075
1056264288
112983a213
1216a14428
13b86c7a2
14768869a
154e15d78
hex35a8660

56264288 has 48 divisors (see below), whose sum is σ = 119342160. Its totient is φ = 26013696.

The previous prime is 56264269. The next prime is 56264293. The reversal of 56264288 is 88246265.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31220 + ... + 32972.

It is an arithmetic number, because the mean of its divisors is an integer number (2486295).

Almost surely, 256264288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56264288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59671080).

56264288 is an abundant number, since it is smaller than the sum of its proper divisors (63077872).

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

56264288 is a wasteful number, since it uses less digits than its factorization.

56264288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1831 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 56264288 is about 7500.9524728530. The cubic root of 56264288 is about 383.1871550183.

The spelling of 56264288 in words is "fifty-six million, two hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1753 1888 2006 3506 4012 7012 8024 14024 16048 28048 29801 32096 56096 59602 103427 119204 206854 238408 413708 476816 827416 953632 1654832 1758259 3309664 3516518 7033036 14066072 28132144 56264288