48573144 has 96 divisors (see below), whose sum is σ = 139510800. Its totient is φ = 15240960.

The previous prime is 48573127. The next prime is 48573149. The reversal of 48573144 is 44137584.

48573144 is a `hidden beast` number, since 48 + 573 + 1 + 44 = 666.

48573144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 48573099 and 48573108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48573149) 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 23 ways as a sum of consecutive naturals, for example, 89514 + ... + 90054.

Almost surely, 2^48573144 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 48573144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69755400).

48573144 is an abundant number, since it is smaller than the sum of its proper divisors (90937656).

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

48573144 is a wasteful number, since it uses less digits than its factorization.

48573144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 618 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 48573144 is about 6969.4435932863. The cubic root of 48573144 is about 364.8648877535.

It can be divided in two parts, 4857 and 3144, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 48573144 in words is "forty-eight million, five hundred seventy-three thousand, one hundred forty-four".