48002944 has 64 divisors (see below), whose sum is σ = 105655680. Its totient is φ = 21542400.

The previous prime is 48002897. The next prime is 48002947. The reversal of 48002944 is 44920084.

48002944 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 (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48002947) 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 7 ways as a sum of consecutive naturals, for example, 144859 + ... + 145189.

It is an arithmetic number, because the mean of its divisors is an integer number (1650870).

Almost surely, 2^48002944 is an apocalyptic number.

48002944 is a gapful number since it is divisible by the number (44) 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 48002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52827840).

48002944 is an abundant number, since it is smaller than the sum of its proper divisors (57652736).

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

48002944 is a wasteful number, since it uses less digits than its factorization.

48002944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 48002944 is about 6928.4156919169. The cubic root of 48002944 is about 363.4315484187.

It can be divided in two parts, 4800 and 2944, that added together give a square (7744 = 88²).

The spelling of 48002944 in words is "forty-eight million, two thousand, nine hundred forty-four".