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83826 = 2324657
BaseRepresentation
bin10100011101110010
311020222200
4110131302
510140301
61444030
7466251
oct243562
9136880
1083826
1157a86
1240616
132c202
1422798
1519c86
hex14772

83826 has 12 divisors (see below), whose sum is σ = 181662. Its totient is φ = 27936.

The previous prime is 83813. The next prime is 83833. The reversal of 83826 is 62838.

It can be written as a sum of positive squares in only one way, i.e., 81225 + 2601 = 285^2 + 51^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 83826.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 83826.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2311 + ... + 2346.

283826 is an apocalyptic number.

83826 is an abundant number, since it is smaller than the sum of its proper divisors (97836).

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

83826 is a wasteful number, since it uses less digits than its factorization.

83826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4662 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 83826 is about 289.5272007947. The cubic root of 83826 is about 43.7649309582.

It can be divided in two parts, 83 and 826, that added together give a palindrome (909).

The spelling of 83826 in words is "eighty-three thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 9 18 4657 9314 13971 27942 41913 83826