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82504413 = 343727529
BaseRepresentation
bin1001110101011…
…10101011011101
312202020122210000
410322232223131
5132110120123
612104204513
72021163435
oct472565335
9182218700
1082504413
1142631872
1223769739
13141292a4
14ad592c5
15739ab43
hex4eaeadd

82504413 has 20 divisors (see below), whose sum is σ = 126582940. Its totient is φ = 53514432.

The previous prime is 82504399. The next prime is 82504439. The reversal of 82504413 is 31440528.

It can be written as a sum of positive squares in 2 ways, for example, as 53538489 + 28965924 = 7317^2 + 5382^2 .

It is not a de Polignac number, because 82504413 - 29 = 82503901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82504313) 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 19 ways as a sum of consecutive naturals, for example, 10768 + ... + 16761.

It is an arithmetic number, because the mean of its divisors is an integer number (6329147).

Almost surely, 282504413 is an apocalyptic number.

It is an amenable number.

82504413 is a deficient number, since it is larger than the sum of its proper divisors (44078527).

82504413 is a wasteful number, since it uses less digits than its factorization.

82504413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27578 (or 27569 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82504413 is about 9083.1939866987. The cubic root of 82504413 is about 435.3371464751.

The spelling of 82504413 in words is "eighty-two million, five hundred four thousand, four hundred thirteen".

Divisors: 1 3 9 27 37 81 111 333 999 2997 27529 82587 247761 743283 1018573 2229849 3055719 9167157 27501471 82504413