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255840768 = 293431199
BaseRepresentation
bin11110011111111…
…01001000000000
3122211102001120000
433033331020000
51010443401033
641215320000
76224416311
oct1717751000
9584361500
10255840768
11121462a57
1271820000
1341009091
1425d9a608
15176d9a13
hexf3fd200

255840768 has 200 divisors, whose sum is σ = 792211200. Its totient is φ = 82114560.

The previous prime is 255840743. The next prime is 255840797. The reversal of 255840768 is 867048552.

255840768 is a `hidden beast` number, since 2 + 5 + 584 + 0 + 7 + 68 = 666.

255840768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1285533 + ... + 1285731.

It is an arithmetic number, because the mean of its divisors is an integer number (3961056).

Almost surely, 2255840768 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 255840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396105600).

255840768 is an abundant number, since it is smaller than the sum of its proper divisors (536370432).

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

255840768 is an equidigital number, since it uses as much as digits as its factorization.

255840768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 255840768 is about 15995.0232259913. The cubic root of 255840768 is about 634.8287450222.

The spelling of 255840768 in words is "two hundred fifty-five million, eight hundred forty thousand, seven hundred sixty-eight".