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82131453 = 3237246641
BaseRepresentation
bin1001110010100…
…11100111111101
312201112201011200
410321103213331
5132011201303
612052210113
72015051205
oct471234775
9181481150
1082131453
11423a7638
1223609939
13140285c1
14ac9d405
1573253a3
hex4e539fd

82131453 has 12 divisors (see below), whose sum is σ = 121841148. Its totient is φ = 53274240.

The previous prime is 82131443. The next prime is 82131457. The reversal of 82131453 is 35413128.

It is a happy number.

82131453 is a `hidden beast` number, since 82 + 131 + 453 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78375609 + 3755844 = 8853^2 + 1938^2 .

It is not a de Polignac number, because 82131453 - 26 = 82131389 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82131457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122988 + ... + 123653.

It is an arithmetic number, because the mean of its divisors is an integer number (10153429).

Almost surely, 282131453 is an apocalyptic number.

It is an amenable number.

82131453 is a deficient number, since it is larger than the sum of its proper divisors (39709695).

82131453 is a wasteful number, since it uses less digits than its factorization.

82131453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246684 (or 246681 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 82131453 is about 9062.6405092556. The cubic root of 82131453 is about 434.6801771235.

The spelling of 82131453 in words is "eighty-two million, one hundred thirty-one thousand, four hundred fifty-three".

Divisors: 1 3 9 37 111 333 246641 739923 2219769 9125717 27377151 82131453