48387584 has 80 divisors (see below), whose sum is σ = 115492608. Its totient is φ = 19802112.

The previous prime is 48387583. The next prime is 48387587. The reversal of 48387584 is 48578384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48387583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82139 + ... + 82725.

Almost surely, 2^48387584 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 48387584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57746304).

48387584 is an abundant number, since it is smaller than the sum of its proper divisors (67105024).

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

48387584 is an equidigital number, since it uses as much as digits as its factorization.

48387584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its digits is 860160, while the sum is 47.

The square root of 48387584 is about 6956.1184578758. The cubic root of 48387584 is about 364.3996737036.

It can be divided in two parts, 4 and 8387584, that multiplied together give a triangular number (33550336 = T₈₁₉₁).

The spelling of 48387584 in words is "forty-eight million, three hundred eighty-seven thousand, five hundred eighty-four".