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159797484 = 2232711173391
BaseRepresentation
bin10011000011001…
…01000011101100
3102010200112221100
421201211003230
5311402004414
623505003100
73650153610
oct1141450354
9363615840
10159797484
1182224240
1245623490
132714c532
1417319340
15e067609
hex98650ec

159797484 has 144 divisors (see below), whose sum is σ = 533385216. Its totient is φ = 39052800.

The previous prime is 159797483. The next prime is 159797507. The reversal of 159797484 is 484797951.

159797484 is a `hidden beast` number, since 1 + 597 + 9 + 7 + 48 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 159797484.

It is not an unprimeable number, because it can be changed into a prime (159797483) 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, 45429 + ... + 48819.

It is an arithmetic number, because the mean of its divisors is an integer number (3704064).

Almost surely, 2159797484 is an apocalyptic number.

159797484 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159797484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266692608).

159797484 is an abundant number, since it is smaller than the sum of its proper divisors (373587732).

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

159797484 is a wasteful number, since it uses less digits than its factorization.

159797484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3431 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 159797484 is about 12641.1029582074. The cubic root of 159797484 is about 542.6543795316.

The spelling of 159797484 in words is "one hundred fifty-nine million, seven hundred ninety-seven thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 17 18 21 22 28 33 34 36 42 44 51 63 66 68 77 84 99 102 119 126 132 153 154 187 198 204 231 238 252 306 308 357 374 396 462 476 561 612 693 714 748 924 1071 1122 1309 1386 1428 1683 2142 2244 2618 2772 3366 3391 3927 4284 5236 6732 6782 7854 10173 11781 13564 15708 20346 23562 23737 30519 37301 40692 47124 47474 57647 61038 71211 74602 94948 111903 115294 122076 142422 149204 172941 213633 223806 230588 261107 284844 335709 345882 403529 427266 447612 518823 522214 634117 671418 691764 783321 807058 854532 1037646 1044428 1210587 1268234 1342836 1566642 1614116 1902351 2075292 2349963 2421174 2536468 3133284 3631761 3804702 4438819 4699926 4842348 5707053 7263522 7609404 8877638 9399852 11414106 13316457 14527044 17755276 22828212 26632914 39949371 53265828 79898742 159797484