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82115649 = 32711118493
BaseRepresentation
bin1001110010011…
…11110001000001
312201111220111100
410321033301001
5132010200044
612052005013
72014654140
oct471176101
9181456440
1082115649
1142396780
1223600769
1314021355
14ac97757
157320869
hex4e4fc41

82115649 has 24 divisors (see below), whose sum is σ = 147880512. Its totient is φ = 42657120.

The previous prime is 82115623. The next prime is 82115653. The reversal of 82115649 is 94651128.

82115649 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 5 + 649 = 666.

It is not a de Polignac number, because 82115649 - 27 = 82115521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82115609) 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 23 ways as a sum of consecutive naturals, for example, 58554 + ... + 59939.

It is an arithmetic number, because the mean of its divisors is an integer number (6161688).

Almost surely, 282115649 is an apocalyptic number.

It is an amenable number.

82115649 is a deficient number, since it is larger than the sum of its proper divisors (65764863).

82115649 is a wasteful number, since it uses less digits than its factorization.

82115649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118517 (or 118514 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 82115649 is about 9061.7685359978. The cubic root of 82115649 is about 434.6522944795.

The spelling of 82115649 in words is "eighty-two million, one hundred fifteen thousand, six hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 118493 355479 829451 1066437 1303423 2488353 3910269 7465059 9123961 11730807 27371883 82115649