48893760 has 112 divisors (see below), whose sum is σ = 172516800. Its totient is φ = 13036032.

The previous prime is 48893753. The next prime is 48893777. The reversal of 48893760 is 6739884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5811 + ... + 11469.

Almost surely, 2^48893760 is an apocalyptic number.

48893760 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 48893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86258400).

48893760 is an abundant number, since it is smaller than the sum of its proper divisors (123623040).

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

48893760 is a wasteful number, since it uses less digits than its factorization.

48893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 48893760 is about 6992.4073107908. The cubic root of 48893760 is about 365.6659138962.

It can be divided in two parts, 4889 and 3760, that added together give a square (8649 = 93²).

The spelling of 48893760 in words is "forty-eight million, eight hundred ninety-three thousand, seven hundred sixty".