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82934082 = 232711531129
BaseRepresentation
bin1001111000101…
…11100101000010
312210001111011200
410330113211002
5132212342312
612121322030
72024633220
oct474274502
9183044150
1082934082
11428a5670
1223936316
1314249a2a
14b02bb10
1574330dc
hex4f17942

82934082 has 96 divisors (see below), whose sum is σ = 228458880. Its totient is φ = 21116160.

The previous prime is 82934051. The next prime is 82934099. The reversal of 82934082 is 28043928.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 72894 + ... + 74022.

It is an arithmetic number, because the mean of its divisors is an integer number (2379780).

Almost surely, 282934082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82934082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114229440).

82934082 is an abundant number, since it is smaller than the sum of its proper divisors (145524798).

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

82934082 is a wasteful number, since it uses less digits than its factorization.

82934082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 82934082 is about 9106.8151403221. The cubic root of 82934082 is about 436.0915590617.

The spelling of 82934082 in words is "eighty-two million, nine hundred thirty-four thousand, eighty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 53 63 66 77 99 106 126 154 159 198 231 318 371 462 477 583 693 742 954 1113 1129 1166 1386 1749 2226 2258 3339 3387 3498 4081 5247 6678 6774 7903 8162 10161 10494 12243 12419 15806 20322 23709 24486 24838 36729 37257 47418 59837 71127 73458 74514 86933 111771 119674 142254 173866 179511 223542 260799 359022 418859 521598 538533 658207 782397 837718 1077066 1256577 1316414 1564794 1974621 2513154 3769731 3949242 4607449 5923863 7539462 9214898 11847726 13822347 27644694 41467041 82934082