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82311327 = 3272186647
BaseRepresentation
bin1001110011111…
…11100010011111
312201212211220200
410321333202133
5132032430302
612100114543
72016430500
oct471774237
9181784820
1082311327
114250a79a
1223695a53
131408c437
14ad08ba7
15735d81c
hex4e7f89f

82311327 has 18 divisors (see below), whose sum is σ = 138306168. Its totient is φ = 47034792.

The previous prime is 82311289. The next prime is 82311329. The reversal of 82311327 is 72311328.

It is not a de Polignac number, because 82311327 - 28 = 82311071 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82311327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82311329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 92883 + ... + 93764.

It is an arithmetic number, because the mean of its divisors is an integer number (7683676).

Almost surely, 282311327 is an apocalyptic number.

82311327 is a deficient number, since it is larger than the sum of its proper divisors (55994841).

82311327 is a wasteful number, since it uses less digits than its factorization.

82311327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186667 (or 186657 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 82311327 is about 9072.5590105549. The cubic root of 82311327 is about 434.9972730705.

Subtracting from 82311327 its reverse (72311328), we obtain a palindrome (9999999).

The spelling of 82311327 in words is "eighty-two million, three hundred eleven thousand, three hundred twenty-seven".

Divisors: 1 3 7 9 21 49 63 147 441 186647 559941 1306529 1679823 3919587 9145703 11758761 27437109 82311327