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82029 = 337739
BaseRepresentation
bin10100000001101101
311011112010
4110001231
510111104
61431433
7461103
oct240155
9134463
1082029
11566a2
123b579
132b44c
1421c73
1519489
hex1406d

82029 has 8 divisors (see below), whose sum is σ = 112480. Its totient is φ = 53136.

The previous prime is 82021. The next prime is 82031. The reversal of 82029 is 92028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82029 - 23 = 82021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81996 and 82014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (14060).

282029 is an apocalyptic number.

It is an amenable number.

82029 is a deficient number, since it is larger than the sum of its proper divisors (30451).

82029 is a wasteful number, since it uses less digits than its factorization.

82029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 82029 is about 286.4070529858. The cubic root of 82029 is about 43.4499357973.

Subtracting 82029 from its reverse (92028), we obtain a palindrome (9999).

The spelling of 82029 in words is "eighty-two thousand, twenty-nine".

Divisors: 1 3 37 111 739 2217 27343 82029