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56006256 = 24310391123
BaseRepresentation
bin1101010110100…
…1011001110000
310220101102010210
43111221121300
5103314200011
65320224120
71250021355
oct325513160
9126342123
1056006256
1129683369
121690b040
13b7ac1c7
14761c62c
154db46a6
hex3569670

56006256 has 40 divisors (see below), whose sum is σ = 144951040. Its totient is φ = 18634176.

The previous prime is 56006239. The next prime is 56006267. The reversal of 56006256 is 65260065.

56006256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×560062562 = 6273401422275072, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49311 + ... + 50433.

It is an arithmetic number, because the mean of its divisors is an integer number (3623776).

Almost surely, 256006256 is an apocalyptic number.

It is an amenable number.

56006256 is an abundant number, since it is smaller than the sum of its proper divisors (88944784).

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

56006256 is a wasteful number, since it uses less digits than its factorization.

56006256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2173 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56006256 is about 7483.7327584568. The cubic root of 56006256 is about 382.6004828067.

The spelling of 56006256 in words is "fifty-six million, six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 1039 1123 2078 2246 3117 3369 4156 4492 6234 6738 8312 8984 12468 13476 16624 17968 24936 26952 49872 53904 1166797 2333594 3500391 4667188 7000782 9334376 14001564 18668752 28003128 56006256