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255859968 = 2837213523
BaseRepresentation
bin11110100000000…
…01110100000000
3122211110000220010
433100001310000
51011000004333
641215544520
76224526300
oct1720016400
9584400803
10255859968
11121476421
127182b140
1341014a40
1425da3600
15176e0563
hexf401d00

255859968 has 216 divisors, whose sum is σ = 854702688. Its totient is φ = 67350528.

The previous prime is 255859943. The next prime is 255859973. The reversal of 255859968 is 869958552.

It is a super-2 number, since 2×2558599682 = 130928646449922048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488955 + ... + 489477.

Almost surely, 2255859968 is an apocalyptic number.

255859968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255859968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427351344).

255859968 is an abundant number, since it is smaller than the sum of its proper divisors (598842720).

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

255859968 is a wasteful number, since it uses less digits than its factorization.

255859968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 548 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 57.

The square root of 255859968 is about 15995.6234014183. The cubic root of 255859968 is about 634.8446252213.

It can be divided in two parts, 25585 and 9968, that added together give a palindrome (35553).

The spelling of 255859968 in words is "two hundred fifty-five million, eight hundred fifty-nine thousand, nine hundred sixty-eight".