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80692416 = 263372953
BaseRepresentation
bin1001100111101…
…00010011000000
312121211121012000
410303310103000
5131124124131
612001304000
71666605600
oct463642300
9177747160
1080692416
1141604452
1223035000
13139435bc
14aa06c00
15713dce6
hex4cf44c0

80692416 has 168 divisors, whose sum is σ = 276240240. Its totient is φ = 23030784.

The previous prime is 80692397. The next prime is 80692433. The reversal of 80692416 is 61429608.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×806924162 = 13022531999834112, which contains 22 as substring.

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

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, 84196 + ... + 85148.

Almost surely, 280692416 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 80692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138120120).

80692416 is an abundant number, since it is smaller than the sum of its proper divisors (195547824).

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

80692416 is a wasteful number, since it uses less digits than its factorization.

80692416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 80692416 is about 8982.8957469181. The cubic root of 80692416 is about 432.1265061604.

The spelling of 80692416 in words is "eighty million, six hundred ninety-two thousand, four hundred sixteen".