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2992 = 241117

2992 has 20 divisors (see below), whose sum is σ = 6696. Its totient is φ = 1280.

The previous prime is 2971. The next prime is 2999.

2992 is nontrivially palindromic in base 10.

2992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2992 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (324) is a multiple of the sum of its prime factors (36).

It is a plaindrome in base 14.

It is a nialpdrome in base 16.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2999) by changing a digit.

2992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 168 + ... + 184.

22992 is an apocalyptic number.

2992 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348).

2992 is an abundant number, since it is smaller than the sum of its proper divisors (3704).

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

2992 is a wasteful number, since it uses less digits than its factorization.

2992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 30 counting only the distinct ones).

The product of its digits is 324, while the sum is 22.

The square root of 2992 is about 54.6991773247. The cubic root of 2992 is about 14.4096642944.

2992 divided by its sum of digits (22) gives a triangular number (136 = T16).

It can be divided in two parts, 29 and 92, that added together give a palindrome (121).

The spelling of 2992 in words is "two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992