Search a number
-
+
256081056 = 2537411101
BaseRepresentation
bin11110100001101…
…11110010100000
3122211212021011120
433100313302200
51011024043211
641224412240
76226440000
oct1720676240
9584767146
10256081056
11121607540
1271917080
134109156a
1426020000
1517735d06
hexf437ca0

256081056 has 240 divisors, whose sum is σ = 863962848. Its totient is φ = 65856000.

The previous prime is 256081043. The next prime is 256081061. The reversal of 256081056 is 650180652.

256081056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2535406 + ... + 2535506.

Almost surely, 2256081056 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 256081056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431981424).

256081056 is an abundant number, since it is smaller than the sum of its proper divisors (607881792).

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

256081056 is a wasteful number, since it uses less digits than its factorization.

256081056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 256081056 is about 16002.5327995290. The cubic root of 256081056 is about 635.0274284967.

The spelling of 256081056 in words is "two hundred fifty-six million, eighty-one thousand, fifty-six".