48181840 has 80 divisors (see below), whose sum is σ = 129491712. Its totient is φ = 16330752.

The previous prime is 48181811. The next prime is 48181933. The reversal of 48181840 is 4818184.

It is a happy number.

48181840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 48181796 and 48181805.

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, 53877 + ... + 54763.

Almost surely, 2^48181840 is an apocalyptic number.

48181840 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 48181840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

48181840 is an abundant number, since it is smaller than the sum of its proper divisors (81309872).

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

48181840 is a wasteful number, since it uses less digits than its factorization.

48181840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 48181840 is about 6941.3139966436. The cubic root of 48181840 is about 363.8824641650.

The spelling of 48181840 in words is "forty-eight million, one hundred eighty-one thousand, eight hundred forty".