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BaseRepresentation
bin100101001110
310021020
4211032
534012
615010
76642
oct4516
93236
102382
111876
121466
131113
14c22
15a8c
hex94e

2382 has 8 divisors (see below), whose sum is σ = 4776. Its totient is φ = 792.

The previous prime is 2381. The next prime is 2383. The reversal of 2382 is 2832.

It can be divided in two parts, 23 and 82, that added together give a triangular number (105 = T14).

2382 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2381) and next prime (2383).

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

2382 is an admirable number.

2382 is strictly pandigital in base 5.

It is a plaindrome in base 12 and base 13.

It is a nialpdrome in base 7 and base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 2382.

It is not an unprimeable number, because it can be changed into a prime (2381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 193 + ... + 204.

It is an arithmetic number, because the mean of its divisors is an integer number (597).

22382 is an apocalyptic number.

2382 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 (2388).

2382 is a wasteful number, since it uses less digits than its factorization.

2382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402.

The product of its digits is 96, while the sum is 15.

The square root of 2382 is about 48.8057373676. The cubic root of 2382 is about 13.3551033246.

The spelling of 2382 in words is "two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 397 794 1191 2382