48917160 has 96 divisors (see below), whose sum is σ = 168353640. Its totient is φ = 12275712.

The previous prime is 48917119. The next prime is 48917173. The reversal of 48917160 is 6171984.

48917160 is a `hidden beast` number, since 489 + 17 + 160 = 666.

48917160 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 35212356 + 13704804 = 5934^2 + 3702^2 .

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

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 23 ways as a sum of consecutive naturals, for example, 2124 + ... + 10116.

Almost surely, 2^48917160 is an apocalyptic number.

48917160 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 48917160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84176820).

48917160 is an abundant number, since it is smaller than the sum of its proper divisors (119436480).

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

48917160 is a wasteful number, since it uses less digits than its factorization.

48917160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8020 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 48917160 is about 6994.0803541281. The cubic root of 48917160 is about 365.7242391148.

The spelling of 48917160 in words is "forty-eight million, nine hundred seventeen thousand, one hundred sixty".