48583920 has 240 divisors, whose sum is σ = 189987840. Its totient is φ = 10053120.

The previous prime is 48583919. The next prime is 48583921. The reversal of 48583920 is 2938584.

It is a happy number.

48583920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48583919) and next prime (48583921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48583921) 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 47 ways as a sum of consecutive naturals, for example, 203161 + ... + 203399.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^48583920 is an apocalyptic number.

48583920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48583920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

48583920 is an abundant number, since it is smaller than the sum of its proper divisors (141403920).

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

48583920 is a wasteful number, since it uses less digits than its factorization.

48583920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 48583920 is about 6970.2166393879. The cubic root of 48583920 is about 364.8918676371.

It can be divided in two parts, 4858 and 3920, that added together give a palindrome (8778).

The spelling of 48583920 in words is "forty-eight million, five hundred eighty-three thousand, nine hundred twenty".