49938 has 32 divisors (see below), whose sum is σ = 120960. Its totient is φ = 13440.

The previous prime is 49937. The next prime is 49939. The reversal of 49938 is 83994.

It is an interprime number because it is at equal distance from previous prime (49937) and next prime (49939).

It is a Curzon number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 49899 and 49908.

It is not an unprimeable number, because it can be changed into a prime (49937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2⁴⁹⁹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

49938 is an abundant number, since it is smaller than the sum of its proper divisors (71022).

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

49938 is a wasteful number, since it uses less digits than its factorization.

49938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82.

The product of its digits is 7776, while the sum is 33.

The square root of 49938 is about 223.4681185315. The cubic root of 49938 is about 36.8250813579.

The spelling of 49938 in words is "forty-nine thousand, nine hundred thirty-eight".