48143120 has 40 divisors (see below), whose sum is σ = 112980120. Its totient is φ = 19077120.

The previous prime is 48143113. The next prime is 48143129. The reversal of 48143120 is 2134184.

48143120 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 4477456 + 43665664 = 2116^2 + 6608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (48143129) 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, 5960 + ... + 11480.

It is an arithmetic number, because the mean of its divisors is an integer number (2824503).

Almost surely, 2^48143120 is an apocalyptic number.

48143120 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 48143120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56490060).

48143120 is an abundant number, since it is smaller than the sum of its proper divisors (64837000).

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

48143120 is a wasteful number, since it uses less digits than its factorization.

48143120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 48143120 is about 6938.5243387914. The cubic root of 48143120 is about 363.7849633575.

The spelling of 48143120 in words is "forty-eight million, one hundred forty-three thousand, one hundred twenty".