49059584 has 54 divisors (see below), whose sum is σ = 113944824. Its totient is φ = 21020160.

The previous prime is 49059583. The next prime is 49059589. The reversal of 49059584 is 48595094.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

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 (49059581) 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 5 ways as a sum of consecutive naturals, for example, 10589 + ... + 14499.

Almost surely, 2^49059584 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 49059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56972412).

49059584 is an abundant number, since it is smaller than the sum of its proper divisors (64885240).

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

49059584 is an equidigital number, since it uses as much as digits as its factorization.

49059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 49059584 is about 7004.2547069620. The cubic root of 49059584 is about 366.0788347804.

The spelling of 49059584 in words is "forty-nine million, fifty-nine thousand, five hundred eighty-four".