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252886272 = 283595581
BaseRepresentation
bin11110001001010…
…11110100000000
3122121211221202020
433010223310000
51004214330042
641032121440
76160332522
oct1704536400
9577757666
10252886272
1111a825221
1270836280
1340513362
142582ba12
15173043ec
hexf12bd00

252886272 has 72 divisors (see below), whose sum is σ = 684576480. Its totient is φ = 82851840.

The previous prime is 252886259. The next prime is 252886301. The reversal of 252886272 is 272688252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42522 + ... + 48102.

Almost surely, 2252886272 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 252886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342288240).

252886272 is an abundant number, since it is smaller than the sum of its proper divisors (431690208).

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

252886272 is an equidigital number, since it uses as much as digits as its factorization.

252886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5645 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 252886272 is about 15902.3983096890. The cubic root of 252886272 is about 632.3755712468.

The spelling of 252886272 in words is "two hundred fifty-two million, eight hundred eighty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5581 5664 7552 11162 11328 15104 16743 22324 22656 33486 44648 45312 66972 89296 133944 178592 267888 329279 357184 535776 658558 714368 987837 1071552 1317116 1428736 1975674 2143104 2634232 3951348 4286208 5268464 7902696 10536928 15805392 21073856 31610784 42147712 63221568 84295424 126443136 252886272