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82422 = 23219241
BaseRepresentation
bin10100000111110110
311012001200
4110013312
510114142
61433330
7462204
oct240766
9135050
1082422
1156a1a
123b846
132b692
1422074
151964c
hex141f6

82422 has 24 divisors (see below), whose sum is σ = 188760. Its totient is φ = 25920.

The previous prime is 82421. The next prime is 82457. The reversal of 82422 is 22428.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 82395 and 82404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222 + ... + 462.

It is an arithmetic number, because the mean of its divisors is an integer number (7865).

282422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94380).

82422 is an abundant number, since it is smaller than the sum of its proper divisors (106338).

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

82422 is a wasteful number, since it uses less digits than its factorization.

82422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 265 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 82422 is about 287.0923196465. The cubic root of 82422 is about 43.5192146584.

The spelling of 82422 in words is "eighty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 241 342 482 723 1446 2169 4338 4579 9158 13737 27474 41211 82422