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82119924 = 22322281109
BaseRepresentation
bin1001110010100…
…00110011110100
312201112010100200
410321100303310
5132010314144
612052040500
72015002455
oct471206364
9181463320
1082119924
1142399a07
1223603130
1314023293
14ac9912c
157321c69
hex4e50cf4

82119924 has 18 divisors (see below), whose sum is σ = 207581010. Its totient is φ = 27373296.

The previous prime is 82119923. The next prime is 82119929. The reversal of 82119924 is 42991128.

It can be written as a sum of positive squares in only one way, i.e., 79923600 + 2196324 = 8940^2 + 1482^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2281109 = 82119924 / (8 + 2 + 1 + 1 + 9 + 9 + 2 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82119923) 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 5 ways as a sum of consecutive naturals, for example, 1140519 + ... + 1140590.

Almost surely, 282119924 is an apocalyptic number.

It is an amenable number.

82119924 is an abundant number, since it is smaller than the sum of its proper divisors (125461086).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82119924 is a wasteful number, since it uses less digits than its factorization.

82119924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281119 (or 2281114 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 82119924 is about 9062.0044140356. The cubic root of 82119924 is about 434.6598371195.

The spelling of 82119924 in words is "eighty-two million, one hundred nineteen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 2281109 4562218 6843327 9124436 13686654 20529981 27373308 41059962 82119924