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557664828 = 223731331647
BaseRepresentation
bin100001001111010…
…100101000111100
31102212100022022220
4201033110220330
52120230233303
6131200405340
716551033660
oct4117245074
91385308286
10557664828
11266872926
12136916850
138b6c51b6
14540c68a0
1533e59053
hex213d4a3c

557664828 has 96 divisors (see below), whose sum is σ = 1542094848. Its totient is φ = 153489600.

The previous prime is 557664827. The next prime is 557664841. The reversal of 557664828 is 828466755.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557664827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861601 + ... + 862247.

It is an arithmetic number, because the mean of its divisors is an integer number (16063488).

Almost surely, 2557664828 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 557664828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771047424).

557664828 is an abundant number, since it is smaller than the sum of its proper divisors (984430020).

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

557664828 is a wasteful number, since it uses less digits than its factorization.

557664828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 557664828 is about 23614.9280752663. The cubic root of 557664828 is about 823.1097601776.

The spelling of 557664828 in words is "five hundred fifty-seven million, six hundred sixty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 331 372 434 647 651 662 868 993 1294 1302 1324 1941 1986 2317 2588 2604 3882 3972 4529 4634 6951 7764 9058 9268 10261 13587 13902 18116 20057 20522 27174 27804 30783 40114 41044 54348 60171 61566 71827 80228 120342 123132 140399 143654 214157 215481 240684 280798 287308 421197 428314 430962 561596 642471 842394 856628 861924 1284942 1499099 1684788 2569884 2998198 4497297 5996396 6638867 8994594 13277734 17989188 19916601 26555468 39833202 46472069 79666404 92944138 139416207 185888276 278832414 557664828