49641984 has 280 divisors, whose sum is σ = 178902240. Its totient is φ = 13436928.

The previous prime is 49641967. The next prime is 49642007. The reversal of 49641984 is 48914694.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2612727 + ... + 2612745.

Almost surely, 2^49641984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89451120).

49641984 is an abundant number, since it is smaller than the sum of its proper divisors (129260256).

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

49641984 is an frugal number, since it uses more digits than its factorization.

49641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 49641984 is about 7045.7067778896. The cubic root of 49641984 is about 367.5217479841.

It can be divided in two parts, 49641 and 984, that added together give a 4-th power (50625 = 15⁴).

The spelling of 49641984 in words is "forty-nine million, six hundred forty-one thousand, nine hundred eighty-four".