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568312992 = 253213178929
BaseRepresentation
bin100001110111111…
…100010010100000
31110121101021212100
4201313330102200
52130442003432
6132220530400
720040403122
oct4167742240
91417337770
10568312992
11271885a65
1213a3b0a00
1390982aa0
1455699212
1534d5e07c
hex21dfc4a0

568312992 has 144 divisors (see below), whose sum is σ = 1843044840. Its totient is φ = 164560896.

The previous prime is 568312991. The next prime is 568312993. The reversal of 568312992 is 299213865.

It is an interprime number because it is at equal distance from previous prime (568312991) and next prime (568312993).

It can be written as a sum of positive squares in 4 ways, for example, as 312440976 + 255872016 = 17676^2 + 15996^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (568312991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59184 + ... + 68112.

Almost surely, 2568312992 is an apocalyptic number.

568312992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 568312992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921522420).

568312992 is an abundant number, since it is smaller than the sum of its proper divisors (1274731848).

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

568312992 is a wasteful number, since it uses less digits than its factorization.

568312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8975 (or 8964 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 568312992 is about 23839.3160975729. The cubic root of 568312992 is about 828.3156396550.

The spelling of 568312992 in words is "five hundred sixty-eight million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 8929 10608 15912 17858 21216 26787 31824 35716 53574 63648 71432 80361 107148 116077 142864 151793 160722 214296 232154 285728 303586 321444 348231 428592 455379 464308 607172 642888 696462 857184 910758 928616 1044693 1214344 1285776 1366137 1392924 1821516 1857232 1973309 2089386 2428688 2571552 2732274 2785848 3643032 3714464 3946618 4178772 4857376 5464548 5571696 5919927 7286064 7893236 8357544 10929096 11143392 11839854 14572128 15786472 16715088 17759781 21858192 23679708 31572944 33430176 35519562 43716384 47359416 63145888 71039124 94718832 142078248 189437664 284156496 568312992