49992 has 16 divisors (see below), whose sum is σ = 125040. Its totient is φ = 16656.

The previous prime is 49991. The next prime is 49993. The reversal of 49992 is 29994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (49991) and next prime (49993).

It is not an unprimeable number, because it can be changed into a prime (49991) 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, 1018 + ... + 1065.

It is an arithmetic number, because the mean of its divisors is an integer number (7815).

2⁴⁹⁹⁹² is an apocalyptic number.

It is an amenable number.

49992 is an abundant number, since it is smaller than the sum of its proper divisors (75048).

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 (62520).

49992 is a wasteful number, since it uses less digits than its factorization.

49992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092 (or 2088 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 49992 is about 223.5889084906. The cubic root of 49992 is about 36.8383500648.

The spelling of 49992 in words is "forty-nine thousand, nine hundred ninety-two".