48511584 has 72 divisors (see below), whose sum is σ = 150505992. Its totient is φ = 14699520.

The previous prime is 48511583. The next prime is 48511597.

48511584 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48511583) 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 11 ways as a sum of consecutive naturals, for example, 4489 + ... + 10824.

It is an arithmetic number, because the mean of its divisors is an integer number (2090361).

Almost surely, 2^48511584 is an apocalyptic number.

48511584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48511584 is an abundant number, since it is smaller than the sum of its proper divisors (101994408).

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

48511584 is a wasteful number, since it uses less digits than its factorization.

48511584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15329 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 48511584 is about 6965.0257716680. The cubic root of 48511584 is about 364.7106833507.

It can be divided in two parts, 4851 and 1584, that multiplied together give a square (7683984 = 2772²).

The spelling of 48511584 in words is "forty-eight million, five hundred eleven thousand, five hundred eighty-four".