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256106256 = 24375912919
BaseRepresentation
bin11110100001111…
…01111100010000
3122211220112201220
433100331330100
51011030400011
641225125040
76226603320
oct1720757420
9584815656
10256106256
1112162446a
1271929780
134109cb83
1426029280
151773d506
hexf43df10

256106256 has 80 divisors (see below), whose sum is σ = 768998400. Its totient is φ = 71927424.

The previous prime is 256106231. The next prime is 256106281. The reversal of 256106256 is 652601652.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (256106231) and next prime (256106281).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13365 + ... + 26283.

It is an arithmetic number, because the mean of its divisors is an integer number (9612480).

Almost surely, 2256106256 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 256106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384499200).

256106256 is an abundant number, since it is smaller than the sum of its proper divisors (512892144).

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

256106256 is a wasteful number, since it uses less digits than its factorization.

256106256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12996 (or 12990 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 256106256 is about 16003.3201555177. The cubic root of 256106256 is about 635.0482580556.

The spelling of 256106256 in words is "two hundred fifty-six million, one hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 12919 19824 25838 38757 51676 77514 90433 103352 155028 180866 206704 271299 310056 361732 542598 620112 723464 762221 1085196 1446928 1524442 2170392 2286663 3048884 4340784 4573326 5335547 6097768 9146652 10671094 12195536 16006641 18293304 21342188 32013282 36586608 42684376 64026564 85368752 128053128 256106256