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86253882 = 231121321937
BaseRepresentation
bin1010010010000…
…10000100111010
320000022011002020
411021002010322
5134040111012
612320415310
72065101021
oct511020472
9200264066
1086253882
1144762900
1224a77536
1314b3cb00
14b6538b8
15788ba8c
hex524213a

86253882 has 144 divisors (see below), whose sum is σ = 221971680. Its totient is φ = 22239360.

The previous prime is 86253851. The next prime is 86253907. The reversal of 86253882 is 28835268.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2331168 + ... + 2331204.

It is an arithmetic number, because the mean of its divisors is an integer number (1541470).

Almost surely, 286253882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86253882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110985840).

86253882 is an abundant number, since it is smaller than the sum of its proper divisors (135717798).

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

86253882 is a wasteful number, since it uses less digits than its factorization.

86253882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The square root of 86253882 is about 9287.2968080061. The cubic root of 86253882 is about 441.8344247183.

The spelling of 86253882 in words is "eighty-six million, two hundred fifty-three thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 37 38 39 57 66 74 78 111 114 121 143 169 209 222 242 247 286 338 363 407 418 429 481 494 507 627 703 726 741 814 858 962 1014 1221 1254 1406 1443 1482 1573 1859 2109 2299 2442 2717 2886 3146 3211 3718 4218 4477 4598 4719 5291 5434 5577 6253 6422 6897 7733 8151 8954 9139 9438 9633 10582 11154 12506 13431 13794 15466 15873 16302 18278 18759 19266 20449 23199 26862 27417 29887 31746 35321 37518 40898 46398 54834 58201 59774 61347 68783 70642 85063 89661 100529 105963 116402 118807 122694 137566 170126 174603 179322 201058 206349 211926 237614 255189 301587 349206 356421 388531 412698 510378 603174 712842 756613 777062 1105819 1165593 1306877 1513226 2211638 2269839 2331186 2613754 3317457 3920631 4539678 6634914 7841262 14375647 28751294 43126941 86253882