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82639986 = 231113231239
BaseRepresentation
bin1001110110011…
…11110001110010
312202111112202020
410323033301302
5132123434421
612111132310
72022266622
oct473176162
9182445666
1082639986
1142714710
1223814096
1314175c00
14ad92882
1573c5dc6
hex4ecfc72

82639986 has 96 divisors (see below), whose sum is σ = 202383360. Its totient is φ = 22276800.

The previous prime is 82639979. The next prime is 82640021. The reversal of 82639986 is 68993628.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345655 + ... + 345893.

It is an arithmetic number, because the mean of its divisors is an integer number (2108160).

Almost surely, 282639986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82639986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101191680).

82639986 is an abundant number, since it is smaller than the sum of its proper divisors (119743374).

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

82639986 is a wasteful number, since it uses less digits than its factorization.

82639986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 299 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 51.

The square root of 82639986 is about 9090.6537718692. The cubic root of 82639986 is about 435.5754677264.

The spelling of 82639986 in words is "eighty-two million, six hundred thirty-nine thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 143 169 186 239 286 338 341 403 429 478 507 682 717 806 858 1014 1023 1209 1434 1859 2046 2418 2629 3107 3718 4433 5239 5258 5577 6214 7409 7887 8866 9321 10478 11154 13299 14818 15717 15774 18642 22227 26598 31434 34177 40391 44454 57629 68354 80782 81499 96317 102531 115258 121173 162998 172887 192634 205062 242346 244497 288951 345774 444301 488994 577902 888602 1059487 1252121 1332903 2118974 2504242 2665806 3178461 3756363 6356922 7512726 13773331 27546662 41319993 82639986