49725984 has 216 divisors, whose sum is σ = 171161424. Its totient is φ = 12499200.

The previous prime is 49725911. The next prime is 49726009. The reversal of 49725984 is 48952794.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (725760) is a multiple of the sum of its prime divisors (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1604049 + ... + 1604079.

It is an arithmetic number, because the mean of its divisors is an integer number (792414).

Almost surely, 2^49725984 is an apocalyptic number.

49725984 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 49725984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85580712).

49725984 is an abundant number, since it is smaller than the sum of its proper divisors (121435440).

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

49725984 is a wasteful number, since it uses less digits than its factorization.

49725984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 49725984 is about 7051.6653352240. The cubic root of 49725984 is about 367.7289276587.

The spelling of 49725984 in words is "forty-nine million, seven hundred twenty-five thousand, nine hundred eighty-four".