48903264 has 144 divisors (see below), whose sum is σ = 152268480. Its totient is φ = 15396480.

The previous prime is 48903263. The next prime is 48903277. The reversal of 48903264 is 46230984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48903263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 147579 + ... + 147909.

It is an arithmetic number, because the mean of its divisors is an integer number (1057420).

Almost surely, 2^48903264 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 48903264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76134240).

48903264 is an abundant number, since it is smaller than the sum of its proper divisors (103365216).

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

48903264 is a wasteful number, since it uses less digits than its factorization.

48903264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48903264 is about 6993.0868720473. The cubic root of 48903264 is about 365.6896051518.

The spelling of 48903264 in words is "forty-eight million, nine hundred three thousand, two hundred sixty-four".