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2892 = 223241

2892 has 12 divisors (see below), whose sum is σ = 6776. Its totient is φ = 960.

The previous prime is 2887. The next prime is 2897. The reversal of 2892 is 2982.

2892 is nontrivially palindromic in base 15.

2892 is digitally balanced in base 2, because in such base 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 (2887) and next prime (2897).

It is a tau number, because it is divible by the number of its divisors (12).

2892 is a nontrivial repdigit in base 15.

It is a plaindrome in base 15.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2897) 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, 109 + ... + 132.

It is an amenable number.

2892 is an abundant number, since it is smaller than the sum of its proper divisors (3884).

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 (3388).

2892 is a wasteful number, since it uses less digits than its factorization.

2892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

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

The square root of 2892 is about 53.7773186390. Note that the first 3 decimals coincide. The cubic root of 2892 is about 14.2473063545.

It can be divided in two parts, 28 and 92, that added together give a triangular number (120 = T15).

The spelling of 2892 in words is "two thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 241 482 723 964 1446 2892