49984 has 28 divisors (see below), whose sum is σ = 109728. Its totient is φ = 22400.

The previous prime is 49957. The next prime is 49991. The reversal of 49984 is 48994.

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

49984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 669 + ... + 739.

2⁴⁹⁹⁸⁴ is an apocalyptic number.

49984 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864).

49984 is an abundant number, since it is smaller than the sum of its proper divisors (59744).

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

49984 is a wasteful number, since it uses less digits than its factorization.

49984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 49984 is about 223.5710177997. The cubic root of 49984 is about 36.8363849336.

Subtracting from 49984 its reverse (48994), we obtain a triangular number (990 = T₄₄).

The spelling of 49984 in words is "forty-nine thousand, nine hundred eighty-four".