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82936308 = 223713531433
BaseRepresentation
bin1001111000110…
…00000111110100
312210001121020010
410330120013310
5132212430213
612121340220
72024642550
oct474300764
9183047203
1082936308
11428a7304
1223937670
131424aa50
14b02c860
157433ac3
hex4f181f4

82936308 has 96 divisors (see below), whose sum is σ = 242839296. Its totient is φ = 21445632.

The previous prime is 82936289. The next prime is 82936309. The reversal of 82936308 is 80363928.

82936308 is nontrivially palindromic in base 16.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82936309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57160 + ... + 58592.

It is an arithmetic number, because the mean of its divisors is an integer number (2529576).

Almost surely, 282936308 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 82936308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121419648).

82936308 is an abundant number, since it is smaller than the sum of its proper divisors (159902988).

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

82936308 is a wasteful number, since it uses less digits than its factorization.

82936308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 82936308 is about 9106.9373556646. The cubic root of 82936308 is about 436.0954606789.

The spelling of 82936308 in words is "eighty-two million, nine hundred thirty-six thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 53 78 84 91 106 156 159 182 212 273 318 364 371 546 636 689 742 1092 1113 1378 1433 1484 2067 2226 2756 2866 4134 4299 4452 4823 5732 8268 8598 9646 10031 14469 17196 18629 19292 20062 28938 30093 37258 40124 55887 57876 60186 74516 75949 111774 120372 130403 151898 223548 227847 260806 303796 391209 455694 521612 531643 782418 911388 987337 1063286 1564836 1594929 1974674 2126572 2962011 3189858 3949348 5924022 6379716 6911359 11848044 13822718 20734077 27645436 41468154 82936308