48855744 has 168 divisors, whose sum is σ = 167365680. Its totient is φ = 13934592.

The previous prime is 48855743. The next prime is 48855767. The reversal of 48855744 is 44755884.

48855744 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 (168).

It is a self number, because there is not a number n which added to its sum of digits gives 48855744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48855743) by changing a digit.

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, 84384 + ... + 84960.

Almost surely, 2^48855744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83682840).

48855744 is an abundant number, since it is smaller than the sum of its proper divisors (118509936).

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

48855744 is a wasteful number, since it uses less digits than its factorization.

48855744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 589 counting only the distinct ones).

The product of its digits is 716800, while the sum is 45.

The square root of 48855744 is about 6989.6884050721. The cubic root of 48855744 is about 365.5711181611.

It can be divided in two parts, 488557 and 44, that added together give a square (488601 = 699²).

The spelling of 48855744 in words is "forty-eight million, eight hundred fifty-five thousand, seven hundred forty-four".