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255952431 = 327382913
BaseRepresentation
bin11110100000110…
…00011000101111
3122211121201201200
433100120120233
51011010434211
641221540543
76225363000
oct1720303057
9584551650
10255952431
11121529939
1271874753
1341047b57
1425dc91a7
151770cb56
hexf41862f

255952431 has 24 divisors (see below), whose sum is σ = 431152800. Its totient is φ = 146256768.

The previous prime is 255952427. The next prime is 255952471. The reversal of 255952431 is 134259552.

It is a happy number.

255952431 is a `hidden beast` number, since 25 + 595 + 2 + 43 + 1 = 666.

255952431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 255952431 - 22 = 255952427 is a prime.

It is a super-2 number, since 2×2559524312 = 131023293869619522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255952471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38370 + ... + 44543.

It is an arithmetic number, because the mean of its divisors is an integer number (17964700).

Almost surely, 2255952431 is an apocalyptic number.

255952431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

255952431 is a deficient number, since it is larger than the sum of its proper divisors (175200369).

255952431 is an equidigital number, since it uses as much as digits as its factorization.

255952431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82940 (or 82923 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 255952431 is about 15998.5133996881. The cubic root of 255952431 is about 634.9210896632.

The spelling of 255952431 in words is "two hundred fifty-five million, nine hundred fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 82913 248739 580391 746217 1741173 4062737 5223519 12188211 28439159 36564633 85317477 255952431