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82805008 = 24111336191
BaseRepresentation
bin1001110111110…
…00000100010000
312202210221010011
410323320010100
5132144230013
612114444304
72023555006
oct473700420
9182727104
1082805008
11428176a0
1223893694
1314203060
14add6a76
157409c3d
hex4ef8110

82805008 has 40 divisors (see below), whose sum is σ = 188487936. Its totient is φ = 34742400.

The previous prime is 82805003. The next prime is 82805039. The reversal of 82805008 is 80050828.

It is not an unprimeable number, because it can be changed into a prime (82805003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15808 + ... + 20383.

Almost surely, 282805008 is an apocalyptic number.

82805008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82805008 is an abundant number, since it is smaller than the sum of its proper divisors (105682928).

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

82805008 is a wasteful number, since it uses less digits than its factorization.

82805008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36223 (or 36217 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 82805008 is about 9099.7257101519. The cubic root of 82805008 is about 435.8652053640.

The spelling of 82805008 in words is "eighty-two million, eight hundred five thousand, eight".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 36191 72382 144764 289528 398101 470483 579056 796202 940966 1592404 1881932 3184808 3763864 5175313 6369616 7527728 10350626 20701252 41402504 82805008