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82038 = 23112113
BaseRepresentation
bin10100000001110110
311011112110
4110001312
510111123
61431450
7461115
oct240166
9134473
1082038
1156700
123b586
132b458
1421c7c
1519493
hex14076

82038 has 24 divisors (see below), whose sum is σ = 181944. Its totient is φ = 24640.

The previous prime is 82037. The next prime is 82039. The reversal of 82038 is 83028.

It is an interprime number because it is at equal distance from previous prime (82037) and next prime (82039).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82031) 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 11 ways as a sum of consecutive naturals, for example, 670 + ... + 782.

It is an arithmetic number, because the mean of its divisors is an integer number (7581).

282038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972).

82038 is an abundant number, since it is smaller than the sum of its proper divisors (99906).

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

82038 is a wasteful number, since it uses less digits than its factorization.

82038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 82038 is about 286.4227644584. The cubic root of 82038 is about 43.4515248090.

Subtracting 82038 from its reverse (83028), we obtain a triangular number (990 = T44).

It can be divided in two parts, 820 and 38, that added together give a palindrome (858).

The spelling of 82038 in words is "eighty-two thousand, thirty-eight".

Divisors: 1 2 3 6 11 22 33 66 113 121 226 242 339 363 678 726 1243 2486 3729 7458 13673 27346 41019 82038