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557554656 = 253103113499
BaseRepresentation
bin100001001110111…
…001101111100000
31102212010201012110
4201032321233200
52120213222111
6131154155320
716550064531
oct4116715740
91385121173
10557554656
112667a807a
12136882b40
138b686cc9
1454098688
1533e365a6
hex213b9be0

557554656 has 96 divisors (see below), whose sum is σ = 1493856000. Its totient is φ = 182052864.

The previous prime is 557554649. The next prime is 557554687. The reversal of 557554656 is 656455755.

It is a happy number.

557554656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (3150000) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

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, 1117095 + ... + 1117593.

It is an arithmetic number, because the mean of its divisors is an integer number (15561000).

Almost surely, 2557554656 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 557554656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746928000).

557554656 is an abundant number, since it is smaller than the sum of its proper divisors (936301344).

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

557554656 is a wasteful number, since it uses less digits than its factorization.

557554656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 720 counting only the distinct ones).

The product of its digits is 3150000, while the sum is 48.

The square root of 557554656 is about 23612.5952830264. The cubic root of 557554656 is about 823.0555522158.

The spelling of 557554656 in words is "five hundred fifty-seven million, five hundred fifty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 113 206 226 309 339 412 452 499 618 678 824 904 998 1236 1356 1497 1648 1808 1996 2472 2712 2994 3296 3616 3992 4944 5424 5988 7984 9888 10848 11639 11976 15968 23278 23952 34917 46556 47904 51397 56387 69834 93112 102794 112774 139668 154191 169161 186224 205588 225548 279336 308382 338322 372448 411176 451096 558672 616764 676644 822352 902192 1117344 1233528 1353288 1644704 1804384 2467056 2706576 4934112 5413152 5807861 11615722 17423583 23231444 34847166 46462888 69694332 92925776 139388664 185851552 278777328 557554656