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56906576 = 243123701
BaseRepresentation
bin1101100100010…
…1001101010000
310222002011010222
43121011031100
5104032002301
65351412212
71260461246
oct331051520
9128064128
1056906576
112a138831
1217084068
13ba35c3c
1477b4796
154ee131b
hex3645350

56906576 has 30 divisors (see below), whose sum is σ = 113958666. Its totient is φ = 27528000.

The previous prime is 56906569. The next prime is 56906593. The reversal of 56906576 is 67560965.

It can be written as a sum of positive squares in only one way, i.e., 46512400 + 10394176 = 6820^2 + 3224^2 .

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 5 ways as a sum of consecutive naturals, for example, 13526 + ... + 17226.

Almost surely, 256906576 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 56906576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56979333).

56906576 is an abundant number, since it is smaller than the sum of its proper divisors (57052090).

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

56906576 is a wasteful number, since it uses less digits than its factorization.

56906576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 44.

The square root of 56906576 is about 7543.6447424305. The cubic root of 56906576 is about 384.6397394547.

The spelling of 56906576 in words is "fifty-six million, nine hundred six thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3701 3844 7402 7688 14804 15376 29608 59216 114731 229462 458924 917848 1835696 3556661 7113322 14226644 28453288 56906576