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256308252 = 223171989743
BaseRepresentation
bin11110100011011…
…11010000011100
3122212021210211020
433101233100130
51011103331002
641233324140
76231404244
oct1721572034
9585253736
10256308252
11121752202
1271a06650
1341140ab5
142607cb24
151777d2bc
hexf46f41c

256308252 has 96 divisors (see below), whose sum is σ = 674956800. Its totient is φ = 75220992.

The previous prime is 256308193. The next prime is 256308253. The reversal of 256308252 is 252803652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256308253) 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, 344593 + ... + 345335.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2256308252 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 256308252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337478400).

256308252 is an abundant number, since it is smaller than the sum of its proper divisors (418648548).

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

256308252 is a wasteful number, since it uses less digits than its factorization.

256308252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256308252 is about 16009.6299769857. The cubic root of 256308252 is about 635.2151724968.

The spelling of 256308252 in words is "two hundred fifty-six million, three hundred eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 89 102 114 178 204 228 267 323 356 534 646 743 969 1068 1292 1486 1513 1691 1938 2229 2972 3026 3382 3876 4458 4539 5073 6052 6764 8916 9078 10146 12631 14117 18156 20292 25262 28234 28747 37893 42351 50524 56468 57494 66127 75786 84702 86241 114988 132254 151572 169404 172482 198381 239989 264508 344964 396762 479978 719967 793524 959956 1124159 1256413 1439934 2248318 2512826 2879868 3372477 3769239 4496636 5025652 6744954 7538478 13489908 15076956 21359021 42718042 64077063 85436084 128154126 256308252