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82665431 = 5961103223
BaseRepresentation
bin1001110110101…
…01111111010111
312202112211122122
410323111333113
5132130243211
612111450155
72022434042
oct473257727
9182484578
1082665431
1142731842
122382695b
1314184674
14ad9bc59
1573cd6db
hex4ed5fd7

82665431 has 16 divisors (see below), whose sum is σ = 86661120. Its totient is φ = 78801120.

The previous prime is 82665421. The next prime is 82665439. The reversal of 82665431 is 13456628.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-82665431 is a prime.

It is a super-2 number, since 2×826654312 = 13667146964831522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82665391 and 82665400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82665439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370586 + ... + 370808.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 282665431 is an apocalyptic number.

82665431 is a deficient number, since it is larger than the sum of its proper divisors (3995689).

82665431 is a wasteful number, since it uses less digits than its factorization.

82665431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446.

The product of its digits is 34560, while the sum is 35.

The square root of 82665431 is about 9092.0531784630. The cubic root of 82665431 is about 435.6201679617.

The spelling of 82665431 in words is "eighty-two million, six hundred sixty-five thousand, four hundred thirty-one".

Divisors: 1 59 61 103 223 3599 6077 6283 13157 13603 22969 370697 802577 1355171 1401109 82665431