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83798982 = 23323109619
BaseRepresentation
bin1001111111010…
…10101111000110
312211200102121000
410333222233012
5132423031412
612152034130
72035164621
oct477525706
9184612530
1083798982
1143336463
1224092946
13144905c7
14b1b4db8
1575544dc
hex4feabc6

83798982 has 64 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 26430624.

The previous prime is 83798917. The next prime is 83799007. The reversal of 83798982 is 28989738.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1741824) is a multiple of the sum of its prime divisors (756).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135069 + ... + 135687.

It is an arithmetic number, because the mean of its divisors is an integer number (3069000).

Almost surely, 283798982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83798982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

83798982 is an abundant number, since it is smaller than the sum of its proper divisors (112617018).

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

83798982 is a wasteful number, since it uses less digits than its factorization.

83798982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 83798982 is about 9154.1783902216. The cubic root of 83798982 is about 437.6022848737.

The spelling of 83798982 in words is "eighty-three million, seven hundred ninety-eight thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 109 138 207 218 327 414 619 621 654 981 1238 1242 1857 1962 2507 2943 3714 5014 5571 5886 7521 11142 14237 15042 16713 22563 28474 33426 42711 45126 67471 67689 85422 128133 134942 135378 202413 256266 384399 404826 607239 768798 1214478 1551833 1821717 3103666 3643434 4655499 9310998 13966497 27932994 41899491 83798982