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256840794 = 2357174441
BaseRepresentation
bin11110100111100…
…01010001011010
3122220021212100000
433103301101122
51011222401134
641252553430
76236052660
oct1723612132
9586255300
10256840794
11121a86321
1272022876
1341299302
142617ac30
1517835e99
hexf4f145a

256840794 has 96 divisors (see below), whose sum is σ = 698495616. Its totient is φ = 69050880.

The previous prime is 256840781. The next prime is 256840799. The reversal of 256840794 is 497048652.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256840799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55614 + ... + 60054.

It is an arithmetic number, because the mean of its divisors is an integer number (7275996).

Almost surely, 2256840794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256840794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349247808).

256840794 is an abundant number, since it is smaller than the sum of its proper divisors (441654822).

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

256840794 is a wasteful number, since it uses less digits than its factorization.

256840794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4470 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 256840794 is about 16026.2532739253. The cubic root of 256840794 is about 635.6548055567.

The spelling of 256840794 in words is "two hundred fifty-six million, eight hundred forty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1701 2142 2754 3213 3402 4131 4441 6426 8262 8882 9639 13323 19278 26646 28917 31087 39969 57834 62174 75497 79938 93261 119907 150994 186522 226491 239814 279783 359721 452982 528479 559566 679473 719442 839349 1056958 1079163 1358946 1585437 1678698 2038419 2158326 2518047 3170874 4076838 4756311 5036094 6115257 7554141 9512622 12230514 14268933 15108282 18345771 28537866 36691542 42806799 85613598 128420397 256840794