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82906681 = 11135310939
BaseRepresentation
bin1001111000100…
…00111000111001
312210000002120211
410330100320321
5132211003211
612120551121
72024460304
oct474207071
9183002524
1082906681
1142887020
12239224a1
131423a410
14b021b3b
157429e21
hex4f10e39

82906681 has 16 divisors (see below), whose sum is σ = 99247680. Its totient is φ = 68253120.

The previous prime is 82906673. The next prime is 82906699. The reversal of 82906681 is 18660928.

It is not a de Polignac number, because 82906681 - 23 = 82906673 is a prime.

It is a super-2 number, since 2×829066812 = 13747035508871522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82906601) 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 15 ways as a sum of consecutive naturals, for example, 2110 + ... + 13048.

It is an arithmetic number, because the mean of its divisors is an integer number (6202980).

Almost surely, 282906681 is an apocalyptic number.

It is an amenable number.

82906681 is a deficient number, since it is larger than the sum of its proper divisors (16340999).

82906681 is a wasteful number, since it uses less digits than its factorization.

82906681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016.

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 82906681 is about 9105.3105932747. The cubic root of 82906681 is about 436.0435262917.

The spelling of 82906681 in words is "eighty-two million, nine hundred six thousand, six hundred eighty-one".

Divisors: 1 11 13 53 143 583 689 7579 10939 120329 142207 579767 1564277 6377437 7536971 82906681