48593120 has 96 divisors (see below), whose sum is σ = 120911616. Its totient is φ = 18432000.

The previous prime is 48593101. The next prime is 48593131. The reversal of 48593120 is 2139584.

48593120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×48593120² = 4722582622668800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 481070 + ... + 481170.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496).

Almost surely, 2^48593120 is an apocalyptic number.

48593120 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 48593120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808).

48593120 is an abundant number, since it is smaller than the sum of its proper divisors (72318496).

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

48593120 is a wasteful number, since it uses less digits than its factorization.

48593120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 48593120 is about 6970.8765589415. The cubic root of 48593120 is about 364.9148985309.

The spelling of 48593120 in words is "forty-eight million, five hundred ninety-three thousand, one hundred twenty".