48131840 has 72 divisors (see below), whose sum is σ = 119107968. Its totient is φ = 18616320.

The previous prime is 48131833. The next prime is 48131849. The reversal of 48131840 is 4813184.

48131840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48131849) 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, 39074 + ... + 40286.

Almost surely, 2^48131840 is an apocalyptic number.

48131840 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 48131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59553984).

48131840 is an abundant number, since it is smaller than the sum of its proper divisors (70976128).

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

48131840 is a wasteful number, since it uses less digits than its factorization.

48131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 48131840 is about 6937.7114382194. The cubic root of 48131840 is about 363.7565493639.

The spelling of 48131840 in words is "forty-eight million, one hundred thirty-one thousand, eight hundred forty".