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557054368 = 251317227347
BaseRepresentation
bin100001001100111…
…111100110100000
31102211012021221021
4201030333212200
52120101214433
6131135335224
716542612133
oct4114774640
91384167837
10557054368
11266496212
12136681514
138b540390
1453da821a
1533d8822d
hex2133f9a0

557054368 has 96 divisors (see below), whose sum is σ = 1259665344. Its totient is φ = 240218112.

The previous prime is 557054297. The next prime is 557054371. The reversal of 557054368 is 863450755.

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, 1605171 + ... + 1605517.

It is an arithmetic number, because the mean of its divisors is an integer number (13121514).

Almost surely, 2557054368 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 557054368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629832672).

557054368 is an abundant number, since it is smaller than the sum of its proper divisors (702610976).

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

557054368 is a wasteful number, since it uses less digits than its factorization.

557054368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The square root of 557054368 is about 23601.9992373528. Note that the first 3 decimals coincide. The cubic root of 557054368 is about 822.8093054844.

The spelling of 557054368 in words is "five hundred fifty-seven million, fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 227 272 347 416 442 454 544 694 884 908 1388 1768 1816 2776 2951 3536 3632 3859 4511 5552 5899 5902 7072 7264 7718 9022 11104 11798 11804 15436 18044 23596 23608 30872 36088 47192 47216 50167 61744 72176 76687 78769 94384 94432 100334 123488 144352 153374 157538 188768 200668 306748 315076 401336 613496 630152 802672 1023997 1226992 1260304 1339073 1605344 2047994 2453984 2520608 2678146 4095988 5356292 8191976 10712584 16383952 17407949 21425168 32767904 34815898 42850336 69631796 139263592 278527184 557054368