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256928112 = 24347127223
BaseRepresentation
bin11110101000001…
…10100101110000
3122220110022010000
433110012211300
51011233144422
641254510000
76236565360
oct1724064560
9586408100
10256928112
11122035991
1272065300
13412c9c8c
14261a09a0
1517851cac
hexf506970

256928112 has 200 divisors, whose sum is σ = 860389376. Its totient is φ = 72503424.

The previous prime is 256928033. The next prime is 256928131. The reversal of 256928112 is 211829652.

256928112 is a `hidden beast` number, since 2 + 569 + 2 + 81 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1152033 + ... + 1152255.

Almost surely, 2256928112 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 256928112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430194688).

256928112 is an abundant number, since it is smaller than the sum of its proper divisors (603461264).

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

256928112 is a wasteful number, since it uses less digits than its factorization.

256928112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 362 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 256928112 is about 16028.9772599502. The cubic root of 256928112 is about 635.7268317806.

The spelling of 256928112 in words is "two hundred fifty-six million, nine hundred twenty-eight thousand, one hundred twelve".