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253688256 = 2632440431
BaseRepresentation
bin11110001111011…
…11100111000000
3122200100200212100
433013233213000
51004421011011
641101230400
76200212623
oct1707574700
9580320770
10253688256
11120222818
1270b62400
13407343c3
1425999dba
1517411d56
hexf1ef9c0

253688256 has 42 divisors (see below), whose sum is σ = 727153232. Its totient is φ = 84562560.

The previous prime is 253688219. The next prime is 253688269. The reversal of 253688256 is 652886352.

It is a super-3 number, since 3×2536882563 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 219640 + ... + 220791.

Almost surely, 2253688256 is an apocalyptic number.

It is an amenable number.

253688256 is an abundant number, since it is smaller than the sum of its proper divisors (473464976).

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

253688256 is a wasteful number, since it uses less digits than its factorization.

253688256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440449 (or 440436 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 253688256 is about 15927.5941686119. The cubic root of 253688256 is about 633.0433548467.

The spelling of 253688256 in words is "two hundred fifty-three million, six hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 440431 880862 1321293 1761724 2642586 3523448 3963879 5285172 7046896 7927758 10570344 14093792 15855516 21140688 28187584 31711032 42281376 63422064 84562752 126844128 253688256