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24992 = 251171

24992 has 24 divisors (see below), whose sum is σ = 54432. Its totient is φ = 11200.

The previous prime is 24989. The next prime is 25013. The reversal of 24992 is 29942.

It is a plaindrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317 + ... + 387.

It is an arithmetic number, because the mean of its divisors is an integer number (2268).

224992 is an apocalyptic number.

24992 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 24992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

24992 is an abundant number, since it is smaller than the sum of its proper divisors (29440).

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

24992 is a wasteful number, since it uses less digits than its factorization.

24992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 84 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

The square root of 24992 is about 158.0885827630. The cubic root of 24992 is about 29.2370580971.

Subtracting 24992 from its reverse (29942), we obtain a triangular number (4950 = T99).

It can be divided in two parts, 2 and 4992, that added together give a palindrome (4994).

The spelling of 24992 in words is "twenty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 142 176 284 352 568 781 1136 1562 2272 3124 6248 12496 24992