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56132864 = 28297561
BaseRepresentation
bin1101011000100…
…0010100000000
310220121211210222
43112020110000
5103332222424
65323042212
71251056444
oct326102400
9126554728
1056132864
112975a4a7
1216970368
13b824a18
147652824
154ddbe5e
hex3588500

56132864 has 36 divisors (see below), whose sum is σ = 115925460. Its totient is φ = 27095040.

The previous prime is 56132849. The next prime is 56132917. The reversal of 56132864 is 46823165.

It can be written as a sum of positive squares in 2 ways, for example, as 21086464 + 35046400 = 4592^2 + 5920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3644 + ... + 11204.

Almost surely, 256132864 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 56132864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57962730).

56132864 is an abundant number, since it is smaller than the sum of its proper divisors (59792596).

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

56132864 is an equidigital number, since it uses as much as digits as its factorization.

56132864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7606 (or 7592 counting only the distinct ones).

The product of its digits is 34560, while the sum is 35.

The square root of 56132864 is about 7492.1868636600. The cubic root of 56132864 is about 382.8885686368. Note that the first 3 decimals are identical.

The spelling of 56132864 in words is "fifty-six million, one hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 7424 7561 15122 30244 60488 120976 219269 241952 438538 483904 877076 967808 1754152 1935616 3508304 7016608 14033216 28066432 56132864