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557859264 = 26313920903
BaseRepresentation
bin100001010000000…
…100000111000000
31102212201012001020
4201100010013000
52120302444024
6131204505440
716552503564
oct4120040700
91385635036
10557859264
11266995a16
121369ab280
138b762851
14541376a4
1533e96979
hex214041c0

557859264 has 56 divisors (see below), whose sum is σ = 1486692480. Its totient is φ = 184606464.

The previous prime is 557859257. The next prime is 557859293. The reversal of 557859264 is 462958755.

It is a super-2 number, since 2×5578592642 = 622413916861243392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16237 + ... + 37139.

It is an arithmetic number, because the mean of its divisors is an integer number (26548080).

Almost surely, 2557859264 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 557859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743346240).

557859264 is an abundant number, since it is smaller than the sum of its proper divisors (928833216).

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

557859264 is a wasteful number, since it uses less digits than its factorization.

557859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057 (or 21047 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 51.

The square root of 557859264 is about 23619.0445192010. The cubic root of 557859264 is about 823.2054111640.

The spelling of 557859264 in words is "five hundred fifty-seven million, eight hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 556 834 1112 1668 2224 3336 4448 6672 8896 13344 20903 26688 41806 62709 83612 125418 167224 250836 334448 501672 668896 1003344 1337792 2006688 2905517 4013376 5811034 8716551 11622068 17433102 23244136 34866204 46488272 69732408 92976544 139464816 185953088 278929632 557859264