47948544 has 144 divisors (see below), whose sum is σ = 162211840. Its totient is φ = 13685760.

The previous prime is 47948543. The next prime is 47948561. The reversal of 47948544 is 44584974.

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

It is a self number, because there is not a number n which added to its sum of digits gives 47948544.

It is not an unprimeable number, because it can be changed into a prime (47948543) 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 15 ways as a sum of consecutive naturals, for example, 47889 + ... + 48879.

Almost surely, 2^47948544 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 47948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105920).

47948544 is an abundant number, since it is smaller than the sum of its proper divisors (114263296).

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

47948544 is an equidigital number, since it uses as much as digits as its factorization.

47948544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1003 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 47948544 is about 6924.4887175877. The cubic root of 47948544 is about 363.2942085825.

The spelling of 47948544 in words is "forty-seven million, nine hundred forty-eight thousand, five hundred forty-four".