48582144 has 120 divisors (see below), whose sum is σ = 151183032. Its totient is φ = 14929920.

The previous prime is 48582143. The next prime is 48582151. The reversal of 48582144 is 44128584.

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 = 48582099 and 48582108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48582143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59499 + ... + 60309.

Almost surely, 2^48582144 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 48582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75591516).

48582144 is an abundant number, since it is smaller than the sum of its proper divisors (102600888).

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

48582144 is a wasteful number, since it uses less digits than its factorization.

48582144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 829 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 48582144 is about 6970.0892390270. The cubic root of 48582144 is about 364.8874213385.

The spelling of 48582144 in words is "forty-eight million, five hundred eighty-two thousand, one hundred forty-four".