49961984 has 44 divisors (see below), whose sum is σ = 101105424. Its totient is φ = 24674304.

The previous prime is 49961981. The next prime is 49962007. The reversal of 49961984 is 48916994.

It is a happy number.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49961981) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 99077 + ... + 99579.

Almost surely, 2^49961984 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 49961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50552712).

49961984 is an abundant number, since it is smaller than the sum of its proper divisors (51143440).

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

49961984 is an equidigital number, since it uses as much as digits as its factorization.

49961984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 602 counting only the distinct ones).

The product of its digits is 559872, while the sum is 50.

The square root of 49961984 is about 7068.3791635707. The cubic root of 49961984 is about 368.3097580965.

The spelling of 49961984 in words is "forty-nine million, nine hundred sixty-one thousand, nine hundred eighty-four".