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5303257608 = 2331129709977
BaseRepresentation
bin1001111000001100…
…10100101000001000
3111200121000101210110
410330012110220020
541330113220413
62234123114320
7245263642305
oct47406245010
914617011713
105303257608
112281606a30
1210400729a0
1366692a36c
143844820ac
152108aa8c3
hex13c194a08

5303257608 has 128 divisors (see below), whose sum is σ = 14998608000. Its totient is φ = 1547857920.

The previous prime is 5303257607. The next prime is 5303257621. The reversal of 5303257608 is 8067523035.

It is not an unprimeable number, because it can be changed into a prime (5303257607) 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, 5427616 + ... + 5428592.

It is an arithmetic number, because the mean of its divisors is an integer number (117176625).

Almost surely, 25303257608 is an apocalyptic number.

5303257608 is a gapful number since it is divisible by the number (58) 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 5303257608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499304000).

5303257608 is an abundant number, since it is smaller than the sum of its proper divisors (9695350392).

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

5303257608 is a wasteful number, since it uses less digits than its factorization.

5303257608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5303257608 is about 72823.4687995566. The cubic root of 5303257608 is about 1743.8705408841.

The spelling of 5303257608 in words is "five billion, three hundred three million, two hundred fifty-seven thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 709 957 977 1276 1418 1914 1954 2127 2552 2836 2931 3828 3908 4254 5672 5862 7656 7799 7816 8508 10747 11724 15598 17016 20561 21494 23397 23448 28333 31196 32241 41122 42988 46794 56666 61683 62392 64482 82244 84999 85976 93588 113332 123366 128964 164488 169998 187176 226171 226664 246732 257928 311663 339996 452342 493464 623326 678513 679992 692693 904684 934989 1246652 1357026 1385386 1809368 1869978 2078079 2493304 2714052 2770772 3739956 4156158 5428104 5541544 7479912 7619623 8312316 15239246 16624632 20088097 22858869 30478492 40176194 45717738 60264291 60956984 80352388 91435476 120528582 160704776 182870952 220969067 241057164 441938134 482114328 662907201 883876268 1325814402 1767752536 2651628804 5303257608