48138240 has 96 divisors (see below), whose sum is σ = 154103040. Its totient is φ = 12828672.

The previous prime is 48138239. The next prime is 48138247. The reversal of 48138240 is 4283184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48138198 and 48138207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48138247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29937 + ... + 31503.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^48138240 is an apocalyptic number.

48138240 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 48138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

48138240 is an abundant number, since it is smaller than the sum of its proper divisors (105964800).

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

48138240 is a wasteful number, since it uses less digits than its factorization.

48138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 48138240 is about 6938.1726700912. The cubic root of 48138240 is about 363.7726713234.

The spelling of 48138240 in words is "forty-eight million, one hundred thirty-eight thousand, two hundred forty".