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264554056 = 23136737967
BaseRepresentation
bin11111100010011…
…00011001001000
3200102210201221101
433301030121020
51020211212211
642130151144
76361446424
oct1761143110
9612721841
10264554056
11126374418
12747224b4
1342a6a080
14271c7b84
151835b5c1
hexfc4c648

264554056 has 32 divisors (see below), whose sum is σ = 542183040. Its totient is φ = 120276288.

The previous prime is 264554021. The next prime is 264554057. The reversal of 264554056 is 650455462.

264554056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2645540562 = 139977697092102272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264554057) 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, 12016 + ... + 25951.

It is an arithmetic number, because the mean of its divisors is an integer number (16943220).

Almost surely, 2264554056 is an apocalyptic number.

264554056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

264554056 is an abundant number, since it is smaller than the sum of its proper divisors (277628984).

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

264554056 is a wasteful number, since it uses less digits than its factorization.

264554056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38053 (or 38049 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The square root of 264554056 is about 16265.1177677876. The cubic root of 264554056 is about 641.9553285882.

The spelling of 264554056 in words is "two hundred sixty-four million, five hundred fifty-four thousand, fifty-six".

Divisors: 1 2 4 8 13 26 52 67 104 134 268 536 871 1742 3484 6968 37967 75934 151868 303736 493571 987142 1974284 2543789 3948568 5087578 10175156 20350312 33069257 66138514 132277028 264554056