48061584 has 120 divisors (see below), whose sum is σ = 147546360. Its totient is φ = 14536704.

The previous prime is 48061571. The next prime is 48061591. The reversal of 48061584 is 48516084.

48061584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 29811600 + 18249984 = 5460^2 + 4272^2 .

It is a super-3 number, since 3×48061584³ (a number of 24 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 70654 + ... + 71330.

It is an arithmetic number, because the mean of its divisors is an integer number (1229553).

Almost surely, 2^48061584 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 48061584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73773180).

48061584 is an abundant number, since it is smaller than the sum of its proper divisors (99484776).

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

48061584 is a wasteful number, since it uses less digits than its factorization.

48061584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48061584 is about 6932.6462480066. The cubic root of 48061584 is about 363.5794765253.

The spelling of 48061584 in words is "forty-eight million, sixty-one thousand, five hundred eighty-four".