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80968212 = 2232131710177
BaseRepresentation
bin1001101001101…
…11101000010100
312122100121111200
410310313220110
5131211440322
612011232500
72002134633
oct464675024
9178317450
1080968212
1141782686
1223148730
1313a0bcb0
14aa7951a
1571958ac
hex4d37a14

80968212 has 72 divisors (see below), whose sum is σ = 233401896. Its totient is φ = 23445504.

The previous prime is 80968201. The next prime is 80968219. The reversal of 80968212 is 21286908.

It can be written as a sum of positive squares in 4 ways, for example, as 13793796 + 67174416 = 3714^2 + 8196^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80968219) 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 23 ways as a sum of consecutive naturals, for example, 2868 + ... + 13044.

It is an arithmetic number, because the mean of its divisors is an integer number (3241693).

Almost surely, 280968212 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 80968212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116700948).

80968212 is an abundant number, since it is smaller than the sum of its proper divisors (152433684).

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

80968212 is a wasteful number, since it uses less digits than its factorization.

80968212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10217 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 80968212 is about 8998.2338267018. The cubic root of 80968212 is about 432.6182634033.

The spelling of 80968212 in words is "eighty million, nine hundred sixty-eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2652 3978 7956 10177 20354 30531 40708 61062 91593 122124 132301 173009 183186 264602 346018 366372 396903 519027 529204 692036 793806 1038054 1190709 1557081 1587612 2076108 2249117 2381418 3114162 4498234 4762836 6228324 6747351 8996468 13494702 20242053 26989404 40484106 80968212