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252260352 = 212332281
BaseRepresentation
bin11110000100100…
…11000000000000
3122120200011011000
433002103000000
51004034312402
641010452000
76152114631
oct1702230000
9576604130
10252260352
1111a437a33
1270594000
13403544a6
1425707888
151722dc1c
hexf093000

252260352 has 104 divisors (see below), whose sum is σ = 747674480. Its totient is φ = 84049920.

The previous prime is 252260303. The next prime is 252260353. The reversal of 252260352 is 253062252.

252260352 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 603 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252260353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109452 + ... + 111732.

Almost surely, 2252260352 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 252260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373837240).

252260352 is an abundant number, since it is smaller than the sum of its proper divisors (495414128).

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

252260352 is an equidigital number, since it uses as much as digits as its factorization.

252260352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 252260352 is about 15882.7060666626. The cubic root of 252260352 is about 631.8534082911.

The spelling of 252260352 in words is "two hundred fifty-two million, two hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2281 2304 3072 3456 4096 4562 4608 6144 6843 6912 9124 9216 12288 13686 13824 18248 18432 20529 27372 27648 36496 36864 41058 54744 55296 61587 72992 82116 109488 110592 123174 145984 164232 218976 246348 291968 328464 437952 492696 583936 656928 875904 985392 1167872 1313856 1751808 1970784 2335744 2627712 3503616 3941568 4671488 5255424 7007232 7883136 9342976 10510848 14014464 15766272 21021696 28028928 31532544 42043392 63065088 84086784 126130176 252260352