Search a number
-
+
252575928 = 233311106303
BaseRepresentation
bin11110000111000…
…00000010111000
3122121021012001000
433003200002320
51004124412203
641021325000
76154600653
oct1703400270
9577235030
10252575928
1111a633040
1270706760
1340435017
142578a89a
15172924a3
hexf0e00b8

252575928 has 64 divisors (see below), whose sum is σ = 765388800. Its totient is φ = 76537440.

The previous prime is 252575909. The next prime is 252575951. The reversal of 252575928 is 829575252.

252575928 is a `hidden beast` number, since 2 + 5 + 2 + 57 + 592 + 8 = 666.

It is a super-2 number, since 2×2525759282 = 127589198810122368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50776 + ... + 55527.

It is an arithmetic number, because the mean of its divisors is an integer number (11959200).

Almost surely, 2252575928 is an apocalyptic number.

It is an amenable number.

252575928 is an abundant number, since it is smaller than the sum of its proper divisors (512812872).

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

252575928 is a wasteful number, since it uses less digits than its factorization.

252575928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106329 (or 106319 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 252575928 is about 15892.6375406979. The cubic root of 252575928 is about 632.1167799478.

The spelling of 252575928 in words is "two hundred fifty-two million, five hundred seventy-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 106303 212606 318909 425212 637818 850424 956727 1169333 1275636 1913454 2338666 2551272 2870181 3507999 3826908 4677332 5740362 7015998 7653816 9354664 10523997 11480724 14031996 21047994 22961448 28063992 31571991 42095988 63143982 84191976 126287964 252575928