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557424 = 24327279
BaseRepresentation
bin10001000000101110000
31001022122100
42020011300
5120314144
615540400
74511100
oct2100560
91038570
10557424
1135088a
1222a700
1316694a
14107200
15b0269
hex88170

557424 has 90 divisors (see below), whose sum is σ = 1837680. Its totient is φ = 157248.

The previous prime is 557423. The next prime is 557443. The reversal of 557424 is 424755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7017 + ... + 7095.

2557424 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 557424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918840).

557424 is an abundant number, since it is smaller than the sum of its proper divisors (1280256).

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

557424 is a wasteful number, since it uses less digits than its factorization.

557424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 91 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 557424 is about 746.6083310545. The cubic root of 557424 is about 82.2991256249.

The spelling of 557424 in words is "five hundred fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 79 84 98 112 126 144 147 158 168 196 237 252 294 316 336 392 441 474 504 553 588 632 711 784 882 948 1008 1106 1176 1264 1422 1659 1764 1896 2212 2352 2844 3318 3528 3792 3871 4424 4977 5688 6636 7056 7742 8848 9954 11376 11613 13272 15484 19908 23226 26544 30968 34839 39816 46452 61936 69678 79632 92904 139356 185808 278712 557424