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4255753248 = 253229509549
BaseRepresentation
bin1111110110101001…
…1010010000100000
3101222120221122221200
43331222122100200
532203433100443
61542143321200
7210314206605
oct37552322040
911876848850
104255753248
11189429744a
129a92b0200
1352a8c99b6
142c52ca6ac
1519d943dd3
hexfda9a420

4255753248 has 72 divisors (see below), whose sum is σ = 12519643500. Its totient is φ = 1369665024.

The previous prime is 4255753211. The next prime is 4255753289. The reversal of 4255753248 is 8423575524.

4255753248 is a `hidden beast` number, since 4 + 2 + 5 + 575 + 32 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4247389584 + 8363664 = 65172^2 + 2892^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42557532482 = 36222871415725099008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246423 + ... + 263126.

Almost surely, 24255753248 is an apocalyptic number.

4255753248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4255753248 is an abundant number, since it is smaller than the sum of its proper divisors (8263890252).

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

4255753248 is a wasteful number, since it uses less digits than its factorization.

4255753248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509594 (or 509583 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 4255753248 is about 65236.1345268096. The cubic root of 4255753248 is about 1620.5364844107.

The spelling of 4255753248 in words is "four billion, two hundred fifty-five million, seven hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 509549 1019098 1528647 2038196 3057294 4076392 4585941 6114588 8152784 9171882 12229176 14776921 16305568 18343764 24458352 29553842 36687528 44330763 48916704 59107684 73375056 88661526 118215368 132992289 146750112 177323052 236430736 265984578 354646104 472861472 531969156 709292208 1063938312 1418584416 2127876624 4255753248