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80991876 = 223717431319
BaseRepresentation
bin1001101001111…
…01011010000100
312122101210222010
410310331122010
5131213220001
612011534220
72002263630
oct464753204
9178353863
1080991876
1141799439
122315a370
1313a199b4
14aa83dc0
15719c8d6
hex4d3d684

80991876 has 96 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 21256704.

The previous prime is 80991839. The next prime is 80991877. The reversal of 80991876 is 67819908.

It is a happy number.

It is a super-3 number, since 3×809918763 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (80991877) 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, 60745 + ... + 62063.

It is an arithmetic number, because the mean of its divisors is an integer number (2439360).

Almost surely, 280991876 is an apocalyptic number.

80991876 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80991876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

80991876 is an abundant number, since it is smaller than the sum of its proper divisors (153186684).

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

80991876 is a wasteful number, since it uses less digits than its factorization.

80991876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 48.

The square root of 80991876 is about 8999.5486553493. The cubic root of 80991876 is about 432.6604053796.

The spelling of 80991876 in words is "eighty million, nine hundred ninety-one thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 172 204 238 258 301 357 476 516 602 714 731 903 1204 1319 1428 1462 1806 2193 2638 2924 3612 3957 4386 5117 5276 7914 8772 9233 10234 15351 15828 18466 20468 22423 27699 30702 36932 44846 55398 56717 61404 67269 89692 110796 113434 134538 156961 170151 226868 269076 313922 340302 397019 470883 627844 680604 794038 941766 964189 1191057 1588076 1883532 1928378 2382114 2892567 3856756 4764228 5785134 6749323 11570268 13498646 20247969 26997292 40495938 80991876