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82119844 = 222321972
BaseRepresentation
bin1001110010100…
…00110010100100
312201112010020201
410321100302210
5132010313334
612052040244
72015002312
oct471206244
9181463221
1082119844
1142399944
1223603084
1314023231
14ac990b2
157321c14
hex4e50ca4

82119844 has 27 divisors (see below), whose sum is σ = 150996097. Its totient is φ = 39075344.

The previous prime is 82119841. The next prime is 82119853. The reversal of 82119844 is 44891128.

The square root of 82119844 is 9062.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80460900 + 1658944 = 8970^2 + 1288^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82119841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 416754 + ... + 416950.

Almost surely, 282119844 is an apocalyptic number.

82119844 is the 9062-nd square number.

It is an amenable number.

82119844 is a deficient number, since it is larger than the sum of its proper divisors (68876253).

82119844 is a wasteful number, since it uses less digits than its factorization.

82119844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The cubic root of 82119844 is about 434.6596959730.

The spelling of 82119844 in words is "eighty-two million, one hundred nineteen thousand, eight hundred forty-four".

Divisors: 1 2 4 23 46 92 197 394 529 788 1058 2116 4531 9062 18124 38809 77618 104213 155236 208426 416852 892607 1785214 3570428 20529961 41059922 82119844