48589264 has 40 divisors (see below), whose sum is σ = 102134088. Its totient is φ = 22302720.

The previous prime is 48589259. The next prime is 48589267. The reversal of 48589264 is 46298584.

48589264 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 17139600 + 31449664 = 4140^2 + 5608^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48589267) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8974 + ... + 13330.

Almost surely, 2^48589264 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 48589264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51067044).

48589264 is an abundant number, since it is smaller than the sum of its proper divisors (53544824).

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

48589264 is a wasteful number, since it uses less digits than its factorization.

48589264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4417 counting only the distinct ones).

The product of its digits is 552960, while the sum is 46.

The square root of 48589264 is about 6970.5999741773. The cubic root of 48589264 is about 364.9052459363.

The spelling of 48589264 in words is "forty-eight million, five hundred eighty-nine thousand, two hundred sixty-four".