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82409768 = 2372210229
BaseRepresentation
bin1001110100101…
…11100100101000
312202001211221122
410322113210220
5132044103033
612102154412
72020320500
oct472274450
9182054848
1082409768
1142577751
1223722a08
13140c519c
14ad32a00
15737ca98
hex4e97928

82409768 has 24 divisors (see below), whose sum is σ = 179746650. Its totient is φ = 35318304.

The previous prime is 82409737. The next prime is 82409779. The reversal of 82409768 is 86790428.

It can be written as a sum of positive squares in only one way, i.e., 82047364 + 362404 = 9058^2 + 602^2 .

It is an unprimeable number.

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, 104723 + ... + 105506.

Almost surely, 282409768 is an apocalyptic number.

It is an amenable number.

82409768 is an abundant number, since it is smaller than the sum of its proper divisors (97336882).

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

82409768 is a wasteful number, since it uses less digits than its factorization.

82409768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210249 (or 210238 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 82409768 is about 9077.9825952686. The cubic root of 82409768 is about 435.1706170014.

The spelling of 82409768 in words is "eighty-two million, four hundred nine thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 210229 420458 840916 1471603 1681832 2943206 5886412 10301221 11772824 20602442 41204884 82409768