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82459013 = 7213129449
BaseRepresentation
bin1001110101000…
…11100110000101
312202011100111112
410322203212011
5132102142023
612103214405
72020614200
oct472434605
9182140445
1082459013
114260074a
1223747405
1314111720
14ad46937
15738c478
hex4ea3985

82459013 has 12 divisors (see below), whose sum is σ = 103301100. Its totient is φ = 65241792.

The previous prime is 82459001. The next prime is 82459037. The reversal of 82459013 is 31095428.

It can be written as a sum of positive squares in 2 ways, for example, as 6385729 + 76073284 = 2527^2 + 8722^2 .

It is not a de Polignac number, because 82459013 - 24 = 82458997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82459073) 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 11 ways as a sum of consecutive naturals, for example, 64088 + ... + 65361.

It is an arithmetic number, because the mean of its divisors is an integer number (8608425).

Almost surely, 282459013 is an apocalyptic number.

It is an amenable number.

82459013 is a deficient number, since it is larger than the sum of its proper divisors (20842087).

82459013 is a wasteful number, since it uses less digits than its factorization.

82459013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129476 (or 129469 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 82459013 is about 9080.6945218964. The cubic root of 82459013 is about 435.2572803116.

The spelling of 82459013 in words is "eighty-two million, four hundred fifty-nine thousand, thirteen".

Divisors: 1 7 13 49 91 637 129449 906143 1682837 6343001 11779859 82459013