48525984 has 108 divisors (see below), whose sum is σ = 149577246. Its totient is φ = 14916096.

The previous prime is 48525977. The next prime is 48525989. The reversal of 48525984 is 48952584.

48525984 is a `hidden beast` number, since 4 + 8 + 52 + 598 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 33872400 + 14653584 = 5820^2 + 3828^2 .

It is a super-2 number, since 2×48525984² = 4709542246336512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48525989) 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 17 ways as a sum of consecutive naturals, for example, 48174 + ... + 49170.

Almost surely, 2^48525984 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 48525984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788623).

48525984 is an abundant number, since it is smaller than the sum of its proper divisors (101051262).

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

48525984 is a wasteful number, since it uses less digits than its factorization.

48525984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039 (or 1015 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 48525984 is about 6966.0594312710. The cubic root of 48525984 is about 364.7467662396.

The spelling of 48525984 in words is "forty-eight million, five hundred twenty-five thousand, nine hundred eighty-four".