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256048956 = 223264710993
BaseRepresentation
bin11110100001011…
…11111100111100
3122211210122010200
433100233330330
51011022031311
641224003500
76226244262
oct1720577474
9584718120
10256048956
11121595409
1271900590
134107ca77
1426012432
151772b556
hexf42ff3c

256048956 has 36 divisors (see below), whose sum is σ = 648294192. Its totient is φ = 85209984.

The previous prime is 256048889. The next prime is 256048973. The reversal of 256048956 is 659840652.

256048956 is a `hidden beast` number, since 2 + 560 + 4 + 89 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2560489562 = 131122135737379872, 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 11 ways as a sum of consecutive naturals, for example, 17796 + ... + 28788.

It is an arithmetic number, because the mean of its divisors is an integer number (18008172).

Almost surely, 2256048956 is an apocalyptic number.

It is an amenable number.

256048956 is an abundant number, since it is smaller than the sum of its proper divisors (392245236).

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

256048956 is a wasteful number, since it uses less digits than its factorization.

256048956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11650 (or 11645 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 256048956 is about 16001.5298018658. The cubic root of 256048956 is about 635.0008936272. Note that the first 3 decimals are identical.

The spelling of 256048956 in words is "two hundred fifty-six million, forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 647 1294 1941 2588 3882 5823 7764 10993 11646 21986 23292 32979 43972 65958 98937 131916 197874 395748 7112471 14224942 21337413 28449884 42674826 64012239 85349652 128024478 256048956