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82668996 = 22327383379
BaseRepresentation
bin1001110110101…
…10110111000100
312202120000112200
410323112313010
5132130401441
612111514500
72022450324
oct473266704
9182500480
1082668996
1142734493
1223828a30
1314186187
14ad9d284
1573ce7b6
hex4ed6dc4

82668996 has 72 divisors (see below), whose sum is σ = 214949280. Its totient is φ = 26780544.

The previous prime is 82668983. The next prime is 82669001. The reversal of 82668996 is 69986628.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217935 + ... + 218313.

Almost surely, 282668996 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 82668996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107474640).

82668996 is an abundant number, since it is smaller than the sum of its proper divisors (132280284).

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

82668996 is a wasteful number, since it uses less digits than its factorization.

82668996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 540 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 82668996 is about 9092.2492266765. The cubic root of 82668996 is about 435.6264300052.

The spelling of 82668996 in words is "eighty-two million, six hundred sixty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 83 146 166 219 249 292 332 379 438 498 657 747 758 876 996 1137 1314 1494 1516 2274 2628 2988 3411 4548 6059 6822 12118 13644 18177 24236 27667 31457 36354 54531 55334 62914 72708 83001 94371 109062 110668 125828 166002 188742 218124 249003 283113 332004 377484 498006 566226 996012 1132452 2296361 4592722 6889083 9185444 13778166 20667249 27556332 41334498 82668996