48691584 has 128 divisors (see below), whose sum is σ = 146431200. Its totient is φ = 15925248.

The previous prime is 48691549. The next prime is 48691613. The reversal of 48691584 is 48519684.

48691584 is a `hidden beast` number, since 4 + 8 + 69 + 1 + 584 = 666.

48691584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252192 + ... + 252384.

Almost surely, 2^48691584 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 48691584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73215600).

48691584 is an abundant number, since it is smaller than the sum of its proper divisors (97739616).

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

48691584 is a wasteful number, since it uses less digits than its factorization.

48691584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 271 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 48691584 is about 6977.9355113099. The cubic root of 48691584 is about 365.1612073289.

The spelling of 48691584 in words is "forty-eight million, six hundred ninety-one thousand, five hundred eighty-four".