49952 has 24 divisors (see below), whose sum is σ = 112896. Its totient is φ = 21312.

The previous prime is 49943. The next prime is 49957. The reversal of 49952 is 25994.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49957) by changing a digit.

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, 113 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (4704).

2⁴⁹⁹⁵² is an apocalyptic number.

It is a pronic number, being equal to 223×224.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56448).

49952 is an abundant number, since it is smaller than the sum of its proper divisors (62944).

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

49952 is a wasteful number, since it uses less digits than its factorization.

49952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 3240, while the sum is 29.

The square root of 49952 is about 223.4994407152. The cubic root of 49952 is about 36.8285223111.

It can be divided in two parts, 49 and 952, that added together give a palindrome (1001).

The spelling of 49952 in words is "forty-nine thousand, nine hundred fifty-two".