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557556104 = 2373613331
BaseRepresentation
bin100001001110111…
…010000110001000
31102212010210012002
4201032322012020
52120213243404
6131154210132
716550102000
oct4116720610
91385123162
10557556104
112667a9176
12136883948
138b687871
1454099000
1533e36c1e
hex213ba188

557556104 has 64 divisors (see below), whose sum is σ = 1239504000. Its totient is φ = 234964800.

The previous prime is 557556091. The next prime is 557556127. The reversal of 557556104 is 401655755.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165719 + ... + 169049.

It is an arithmetic number, because the mean of its divisors is an integer number (19367250).

Almost surely, 2557556104 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 557556104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619752000).

557556104 is an abundant number, since it is smaller than the sum of its proper divisors (681947896).

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

557556104 is a wasteful number, since it uses less digits than its factorization.

557556104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3419 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The square root of 557556104 is about 23612.6259446085. The cubic root of 557556104 is about 823.0562647220.

The spelling of 557556104 in words is "five hundred fifty-seven million, five hundred fifty-six thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 343 392 427 488 686 854 1372 1708 2744 2989 3331 3416 5978 6662 11956 13324 20923 23317 23912 26648 41846 46634 83692 93268 163219 167384 186536 203191 326438 406382 652876 812764 1142533 1305752 1422337 1625528 2285066 2844674 4570132 5689348 9140264 9956359 11378696 19912718 39825436 69694513 79650872 139389026 278778052 557556104