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557929904 = 24767149499
BaseRepresentation
bin100001010000010…
…101010110110000
31102212211202221112
4201100111112300
52120312224104
6131210212452
716553216540
oct4120252660
91385752845
10557929904
11266a33aa4
12136a24128
138b788a4c
1454155320
1533eac86e
hex214155b0

557929904 has 80 divisors (see below), whose sum is σ = 1264800000. Its totient is φ = 233494272.

The previous prime is 557929891. The next prime is 557929913. The reversal of 557929904 is 409929755.

It is a happy number.

It is a super-2 number, since 2×5579299042 = 622571555554898432, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117847 + ... + 1118345.

It is an arithmetic number, because the mean of its divisors is an integer number (15810000).

Almost surely, 2557929904 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 557929904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632400000).

557929904 is an abundant number, since it is smaller than the sum of its proper divisors (706870096).

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

557929904 is a wasteful number, since it uses less digits than its factorization.

557929904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 50.

The square root of 557929904 is about 23620.5398752865. The cubic root of 557929904 is about 823.2401563526.

The spelling of 557929904 in words is "five hundred fifty-seven million, nine hundred twenty-nine thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 149 268 298 469 499 536 596 938 998 1043 1072 1192 1876 1996 2086 2384 3493 3752 3992 4172 6986 7504 7984 8344 9983 13972 16688 19966 27944 33433 39932 55888 66866 69881 74351 79864 133732 139762 148702 159728 234031 267464 279524 297404 468062 520457 534928 559048 594808 936124 1040914 1118096 1189616 1872248 2081828 3744496 4163656 4981517 8327312 9963034 19926068 34870619 39852136 69741238 79704272 139482476 278964952 557929904