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264201056 = 2575919991
BaseRepresentation
bin11111011111101…
…10001101100000
3200102010210201022
433233312031200
51020113413211
642114425012
76355446320
oct1757661540
9612123638
10264201056
11126153189
1274592168
13429754b2
1427135280
15182dbbdb
hexfbf6360

264201056 has 48 divisors (see below), whose sum is σ = 604558080. Its totient is φ = 111304320.

The previous prime is 264201017. The next prime is 264201059. The reversal of 264201056 is 650102462.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264201059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3221 + ... + 23211.

It is an arithmetic number, because the mean of its divisors is an integer number (12594960).

Almost surely, 2264201056 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 264201056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302279040).

264201056 is an abundant number, since it is smaller than the sum of its proper divisors (340357024).

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

264201056 is a wasteful number, since it uses less digits than its factorization.

264201056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20067 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 264201056 is about 16254.2627024421. The cubic root of 264201056 is about 641.6696767011.

The spelling of 264201056 in words is "two hundred sixty-four million, two hundred one thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 112 118 224 236 413 472 826 944 1652 1888 3304 6608 13216 19991 39982 79964 139937 159928 279874 319856 559748 639712 1119496 1179469 2238992 2358938 4477984 4717876 8256283 9435752 16512566 18871504 33025132 37743008 66050264 132100528 264201056