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82169344 = 29312167
BaseRepresentation
bin1001110010111…
…00111000000000
312201121122011001
410321130320000
5132013404334
612053101344
72015266525
oct471347000
9181548131
1082169344
1142423054
1223627854
131403c91a
14acad14c
157331714
hex4e5ce00

82169344 has 60 divisors (see below), whose sum is σ = 170660952. Its totient is φ = 39521280.

The previous prime is 82169309. The next prime is 82169369. The reversal of 82169344 is 44396128.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 491949 + ... + 492115.

Almost surely, 282169344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82169344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85330476).

82169344 is an abundant number, since it is smaller than the sum of its proper divisors (88491608).

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

82169344 is an equidigital number, since it uses as much as digits as its factorization.

82169344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 200 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 82169344 is about 9064.7307737185. The cubic root of 82169344 is about 434.7470128029.

The spelling of 82169344 in words is "eighty-two million, one hundred sixty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 256 334 496 512 668 961 992 1336 1922 1984 2672 3844 3968 5177 5344 7688 7936 10354 10688 15376 15872 20708 21376 30752 41416 42752 61504 82832 85504 123008 160487 165664 246016 320974 331328 492032 641948 662656 1283896 1325312 2567792 2650624 5135584 10271168 20542336 41084672 82169344