24892 has 18 divisors (see below), whose sum is σ = 51072. Its totient is φ = 10584.

The previous prime is 24889. The next prime is 24907. The reversal of 24892 is 29842.

Subtracting 24892 from its reverse (29842), we obtain a triangular number (4950 = T_{99}).

It is a super-2 number, since 2×24892^{2} = 1239223328, which contains 22 as substring.

It is a plaindrome in base 11.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133 + ... + 259.

2^{24892} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536).

24892 is an abundant number, since it is smaller than the sum of its proper divisors (26180).

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

24892 is a wasteful number, since it uses less digits than its factorization.

24892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 24892 is about 157.7719873742. The cubic root of 24892 is about 29.1980107483.

The spelling of 24892 in words is "twenty-four thousand, eight hundred ninety-two".

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