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56584272 = 2435412179
BaseRepresentation
bin1101011111011…
…0100001010000
310221110210000210
43113312201100
5103441144042
65340444120
71254646503
oct327664120
9127423023
1056584272
1129a38668
1216b49640
13b952324
14772d13a
154e7aa9c
hex35f6850

56584272 has 40 divisors (see below), whose sum is σ = 146513440. Its totient is φ = 18817920.

The previous prime is 56584267. The next prime is 56584277. The reversal of 56584272 is 27248565.

56584272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56584267) and next prime (56584277).

It is a self number, because there is not a number n which added to its sum of digits gives 56584272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56584277) by changing a digit.

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, 24879 + ... + 27057.

It is an arithmetic number, because the mean of its divisors is an integer number (3662836).

Almost surely, 256584272 is an apocalyptic number.

It is an amenable number.

56584272 is an abundant number, since it is smaller than the sum of its proper divisors (89929168).

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

56584272 is a wasteful number, since it uses less digits than its factorization.

56584272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2725 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 56584272 is about 7522.2517905212. The cubic root of 56584272 is about 383.9121978074.

The spelling of 56584272 in words is "fifty-six million, five hundred eighty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 541 1082 1623 2164 2179 3246 4328 4358 6492 6537 8656 8716 12984 13074 17432 25968 26148 34864 52296 104592 1178839 2357678 3536517 4715356 7073034 9430712 14146068 18861424 28292136 56584272