49950 has 48 divisors (see below), whose sum is σ = 141360. Its totient is φ = 12960.

The previous prime is 49943. The next prime is 49957. The reversal of 49950 is 5994.

It is a happy number.

49950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49943) and next prime (49957).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a plaindrome in base 11.

It is a nialpdrome in base 15.

It is a congruent number.

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

49950 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 23 ways as a sum of consecutive naturals, for example, 1332 + ... + 1368.

It is an arithmetic number, because the mean of its divisors is an integer number (2945).

2⁴⁹⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70680).

49950 is an abundant number, since it is smaller than the sum of its proper divisors (91410).

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

49950 is a wasteful number, since it uses less digits than its factorization.

49950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 49950 is about 223.4949663863. The cubic root of 49950 is about 36.8280307858.

Subtracting from 49950 its reverse (5994), we obtain a triangular number (43956 = T₂₉₆).

It can be divided in two parts, 49 and 950, that added together give a palindrome (999).

The spelling of 49950 in words is "forty-nine thousand, nine hundred fifty".