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82873104 = 2436773353
BaseRepresentation
bin1001111000010…
…00101100010000
312202221101112020
410330020230100
5132203414404
612120131440
72024260356
oct474105420
9182841466
1082873104
1142863876
1223906b80
1314228052
14b0137d6
15741eed9
hex4f08b10

82873104 has 80 divisors (see below), whose sum is σ = 220884672. Its totient is φ = 26763264.

The previous prime is 82873099. The next prime is 82873123. The reversal of 82873104 is 40137828.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234592 + ... + 234944.

Almost surely, 282873104 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 82873104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110442336).

82873104 is an abundant number, since it is smaller than the sum of its proper divisors (138011568).

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

82873104 is a wasteful number, since it uses less digits than its factorization.

82873104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 82873104 is about 9103.4665924581. The cubic root of 82873104 is about 435.9846528279.

The spelling of 82873104 in words is "eighty-two million, eight hundred seventy-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 73 134 146 201 219 268 292 353 402 438 536 584 706 804 876 1059 1072 1168 1412 1608 1752 2118 2824 3216 3504 4236 4891 5648 8472 9782 14673 16944 19564 23651 25769 29346 39128 47302 51538 58692 70953 77307 78256 94604 103076 117384 141906 154614 189208 206152 234768 283812 309228 378416 412304 567624 618456 1135248 1236912 1726523 3453046 5179569 6906092 10359138 13812184 20718276 27624368 41436552 82873104