48075840 has 84 divisors (see below), whose sum is σ = 165370764. Its totient is φ = 12819456.

The previous prime is 48075817. The next prime is 48075851. The reversal of 48075840 is 4857084.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 38638656 = 3072^2 + 6216^2 .

It is a super-3 number, since 3×48075840³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48075795 and 48075804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5467 + ... + 11226.

Almost surely, 2^48075840 is an apocalyptic number.

48075840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48075840 is an abundant number, since it is smaller than the sum of its proper divisors (117294924).

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

48075840 is a wasteful number, since it uses less digits than its factorization.

48075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16716 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 48075840 is about 6933.6743505879. The cubic root of 48075840 is about 363.6154212182.

The spelling of 48075840 in words is "forty-eight million, seventy-five thousand, eight hundred forty".