Search a number
-
+
56559232 = 27736053
BaseRepresentation
bin1101011111000…
…0011010000000
310221102111200101
43113300122000
5103434343412
65340132144
71254513502
oct327603200
9127374611
1056559232
1129a20874
1216b37054
13b943b02
147723d72
154e73457
hex35f0680

56559232 has 32 divisors (see below), whose sum is σ = 114238980. Its totient is φ = 27887616.

The previous prime is 56559227. The next prime is 56559241. The reversal of 56559232 is 23295565.

It can be written as a sum of positive squares in 2 ways, for example, as 53816896 + 2742336 = 7336^2 + 1656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 56559191 and 56559200.

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 3 ways as a sum of consecutive naturals, for example, 6318 + ... + 12370.

Almost surely, 256559232 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 56559232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57119490).

56559232 is an abundant number, since it is smaller than the sum of its proper divisors (57679748).

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

56559232 is an equidigital number, since it uses as much as digits as its factorization.

56559232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6140 (or 6128 counting only the distinct ones).

The product of its digits is 81000, while the sum is 37.

The square root of 56559232 is about 7520.5872111159. The cubic root of 56559232 is about 383.8555591016.

The spelling of 56559232 in words is "fifty-six million, five hundred fifty-nine thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 6053 9344 12106 24212 48424 96848 193696 387392 441869 774784 883738 1767476 3534952 7069904 14139808 28279616 56559232