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80986374 = 23271076007
BaseRepresentation
bin1001101001111…
…00000100000110
312122101112102100
410310330010012
5131213030444
612011452530
72002241610
oct464740406
9178345370
1080986374
1141795297
1223157146
1313a17341
14aa81db0
15719ae69
hex4d3c106

80986374 has 48 divisors (see below), whose sum is σ = 202445568. Its totient is φ = 22918896.

The previous prime is 80986369. The next prime is 80986391. The reversal of 80986374 is 47368908.

It is a happy number.

80986374 is a `hidden beast` number, since 8 + 0 + 9 + 8 + 637 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10479 + ... + 16485.

It is an arithmetic number, because the mean of its divisors is an integer number (4217616).

Almost surely, 280986374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80986374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101222784).

80986374 is an abundant number, since it is smaller than the sum of its proper divisors (121459194).

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

80986374 is a wasteful number, since it uses less digits than its factorization.

80986374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80986374 is about 8999.2429681613. The cubic root of 80986374 is about 432.6506078889.

The spelling of 80986374 in words is "eighty million, nine hundred eighty-six thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6007 6741 12014 13482 18021 36042 42049 54063 84098 108126 126147 252294 378441 642749 756882 1285498 1928247 3856494 4499243 5784741 8998486 11569482 13497729 26995458 40493187 80986374