48743760 has 160 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 11280384.

The previous prime is 48743753. The next prime is 48743771. The reversal of 48743760 is 6734784.

It is a happy number.

48743760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 52581 + ... + 53499.

It is an arithmetic number, because the mean of its divisors is an integer number (1078056).

Almost surely, 2^48743760 is an apocalyptic number.

48743760 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 48743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

48743760 is an abundant number, since it is smaller than the sum of its proper divisors (123745200).

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

48743760 is a wasteful number, since it uses less digits than its factorization.

48743760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 48743760 is about 6981.6731519028. The cubic root of 48743760 is about 365.2915915984.

The spelling of 48743760 in words is "forty-eight million, seven hundred forty-three thousand, seven hundred sixty".