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83920806 = 23317113809
BaseRepresentation
bin1010000000010…
…00011110100110
312211220121201000
411000020132212
5132440431211
612154414130
72036213034
oct500103646
9184817630
1083920806
1143409a42
1224131346
1314503ba8
14b207554
15757a656
hex50087a6

83920806 has 64 divisors (see below), whose sum is σ = 199454400. Its totient is φ = 26062848.

The previous prime is 83920769. The next prime is 83920829. The reversal of 83920806 is 60802938.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103330 + ... + 104138.

It is an arithmetic number, because the mean of its divisors is an integer number (3116475).

Almost surely, 283920806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83920806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99727200).

83920806 is an abundant number, since it is smaller than the sum of its proper divisors (115533594).

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

83920806 is a wasteful number, since it uses less digits than its factorization.

83920806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

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

The square root of 83920806 is about 9160.8299842318. The cubic root of 83920806 is about 437.8142391111.

The spelling of 83920806 in words is "eighty-three million, nine hundred twenty thousand, eight hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 113 153 226 306 339 459 678 809 918 1017 1618 1921 2034 2427 3051 3842 4854 5763 6102 7281 11526 13753 14562 17289 21843 27506 34578 41259 43686 51867 82518 91417 103734 123777 182834 247554 274251 371331 548502 742662 822753 1554089 1645506 2468259 3108178 4662267 4936518 9324534 13986801 27973602 41960403 83920806