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BaseRepresentation
bin100000100010
32212010
4200202
531312
613350
76033
oct4042
92763
102082
111623
121256
13c42
14a8a
1593c
hex822

2082 has 8 divisors (see below), whose sum is σ = 4176. Its totient is φ = 692.

The previous prime is 2081. The next prime is 2083. The reversal of 2082 is 2802.

2082 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (2081) and next prime (2083).

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

2082 is an undulating number in base 14.

It is a plaindrome in base 12.

It is a nialpdrome in base 13 and base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2082.

It is not an unprimeable number, because it can be changed into a prime (2081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (522).

2082 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088).

2082 is a wasteful number, since it uses less digits than its factorization.

2082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2082 is about 45.6289381862. The cubic root of 2082 is about 12.7690986360.

Adding to 2082 its reverse (2802), we get a palindrome (4884).

It can be divided in two parts, 208 and 2, that added together give a triangular number (210 = T20).

The spelling of 2082 in words is "two thousand, eighty-two".

Divisors: 1 2 3 6 347 694 1041 2082