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82039808 = 210113709
BaseRepresentation
bin1001110001111…
…01010000000000
312201101001110102
410320331100000
5132000233213
612050221532
72014220054
oct470752000
9181331412
1082039808
11423447a4
12235848a8
1313cc5986
14ac77c64
157308158
hex4e3d400

82039808 has 44 divisors (see below), whose sum is σ = 165684180. Its totient is φ = 40599552.

The previous prime is 82039799. The next prime is 82039871. The reversal of 82039808 is 80893028.

It can be written as a sum of positive squares in 2 ways, for example, as 5161984 + 76877824 = 2272^2 + 8768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 115358 + ... + 116066.

Almost surely, 282039808 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 82039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82842090).

82039808 is an abundant number, since it is smaller than the sum of its proper divisors (83644372).

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

82039808 is a wasteful number, since it uses less digits than its factorization.

82039808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 82039808 is about 9057.5829005315. The cubic root of 82039808 is about 434.5184400973.

The spelling of 82039808 in words is "eighty-two million, thirty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 709 904 1024 1418 1808 2836 3616 5672 7232 11344 14464 22688 28928 45376 57856 80117 90752 115712 160234 181504 320468 363008 640936 726016 1281872 2563744 5127488 10254976 20509952 41019904 82039808