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82139211 = 3371139509
BaseRepresentation
bin1001110010101…
…01100001001011
312201120002211000
410321111201023
5132011423321
612052310043
72015112630
oct471254113
9181502730
1082139211
1142402450
1223612323
131402bcab
14aca2187
157327826
hex4e5584b

82139211 has 32 divisors (see below), whose sum is σ = 151718400. Its totient is φ = 42668640.

The previous prime is 82139191. The next prime is 82139219. The reversal of 82139211 is 11293128.

It is not a de Polignac number, because 82139211 - 25 = 82139179 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (82139219) 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 31 ways as a sum of consecutive naturals, for example, 17676 + ... + 21833.

It is an arithmetic number, because the mean of its divisors is an integer number (4741200).

Almost surely, 282139211 is an apocalyptic number.

82139211 is a deficient number, since it is larger than the sum of its proper divisors (69579189).

82139211 is a wasteful number, since it uses less digits than its factorization.

82139211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39536 (or 39530 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 82139211 is about 9063.0685200985. The cubic root of 82139211 is about 434.6938630807.

It can be divided in two parts, 8213 and 9211, that added together give a square (17424 = 1322).

The spelling of 82139211 in words is "eighty-two million, one hundred thirty-nine thousand, two hundred eleven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 39509 118527 276563 355581 434599 829689 1066743 1303797 2489067 3042193 3911391 7467201 9126579 11734173 27379737 82139211