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426983256 = 233272373271
BaseRepresentation
bin11001011100110…
…011111101011000
31002202102222220200
4121130303331120
51333301431011
6110211422200
713403204100
oct3134637530
91082388820
10426983256
111aa025927
12babb4960
136a5cb41b
14409ca200
1527743856
hex19733f58

426983256 has 144 divisors (see below), whose sum is σ = 1381994640. Its totient is φ = 118661760.

The previous prime is 426983239. The next prime is 426983267. The reversal of 426983256 is 652389624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128901 + ... + 132171.

It is an arithmetic number, because the mean of its divisors is an integer number (9597185).

Almost surely, 2426983256 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 426983256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690997320).

426983256 is an abundant number, since it is smaller than the sum of its proper divisors (955011384).

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

426983256 is a wasteful number, since it uses less digits than its factorization.

426983256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3320 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 426983256 is about 20663.5731663234. The cubic root of 426983256 is about 753.0149783003.

It can be divided in two parts, 42698 and 3256, that added together give a palindrome (45954).

The spelling of 426983256 in words is "four hundred twenty-six million, nine hundred eighty-three thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 168 196 222 252 259 294 296 333 392 441 444 504 518 588 666 777 882 888 1036 1176 1332 1554 1764 1813 2072 2331 2664 3108 3271 3528 3626 4662 5439 6216 6542 7252 9324 9813 10878 13084 14504 16317 18648 19626 21756 22897 26168 29439 32634 39252 43512 45794 58878 65268 68691 78504 91588 117756 121027 130536 137382 160279 183176 206073 235512 242054 274764 320558 363081 412146 480837 484108 549528 641116 726162 824292 847189 961674 968216 1089243 1282232 1442511 1452324 1648584 1694378 1923348 2178486 2541567 2885022 2904648 3388756 3846696 4356972 5083134 5770044 5930323 6777512 7624701 8713944 10166268 11540088 11860646 15249402 17790969 20332536 23721292 30498804 35581938 47442584 53372907 60997608 71163876 106745814 142327752 213491628 426983256