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56485504 = 272915217
BaseRepresentation
bin1101011101111…
…0011010000000
310221021202112201
43113132122000
5103430014004
65334402544
71254055525
oct327363200
9127252481
1056485504
1129980439
1216b00454
13b91939a
14770514c
154e5b6a4
hex35de680

56485504 has 32 divisors (see below), whose sum is σ = 116417700. Its totient is φ = 27267072.

The previous prime is 56485483. The next prime is 56485519. The reversal of 56485504 is 40558465.

56485504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54051904 + 2433600 = 7352^2 + 1560^2 .

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

It is a super-2 number, since 2×564855042 = 6381224324268032, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 3897 + ... + 11320.

Almost surely, 256485504 is an apocalyptic number.

It is an amenable number.

56485504 is an abundant number, since it is smaller than the sum of its proper divisors (59932196).

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

56485504 is a wasteful number, since it uses less digits than its factorization.

56485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15260 (or 15248 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The square root of 56485504 is about 7515.6838677528. The cubic root of 56485504 is about 383.6886944547.

It can be divided in two parts, 564 and 85504, that added together give a palindrome (86068).

The spelling of 56485504 in words is "fifty-six million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 15217 30434 60868 121736 243472 441293 486944 882586 973888 1765172 1947776 3530344 7060688 14121376 28242752 56485504