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557640928 = 25132116353
BaseRepresentation
bin100001001111001…
…110110011100000
31102212022002112201
4201033032303200
52120224002203
6131200102544
716550604205
oct4117166340
91385262481
10557640928
11266856979
12136904a54
138b6b7360
14540bbcac
1533e51e1d
hex213cece0

557640928 has 48 divisors (see below), whose sum is σ = 1188096336. Its totient is φ = 256112640.

The previous prime is 557640917. The next prime is 557640973. The reversal of 557640928 is 829046755.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84600 + ... + 90952.

It is an arithmetic number, because the mean of its divisors is an integer number (24752007).

Almost surely, 2557640928 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 557640928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594048168).

557640928 is an abundant number, since it is smaller than the sum of its proper divisors (630455408).

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

557640928 is a wasteful number, since it uses less digits than its factorization.

557640928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6587 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 557640928 is about 23614.4220340029. The cubic root of 557640928 is about 823.0980012599.

The spelling of 557640928 in words is "five hundred fifty-seven million, six hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 211 416 422 844 1688 2743 3376 5486 6353 6752 10972 12706 21944 25412 43888 50824 82589 87776 101648 165178 203296 330356 660712 1321424 1340483 2642848 2680966 5361932 10723864 17426279 21447728 34852558 42895456 69705116 139410232 278820464 557640928