47948500 has 48 divisors (see below), whose sum is σ = 110899152. Its totient is φ = 18048000.

The previous prime is 47948473. The next prime is 47948503. The reversal of 47948500 is 584974.

It can be written as a sum of positive squares in 8 ways, for example, as 669124 + 47279376 = 818^2 + 6876^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 47948500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47948503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5680 + ... + 11320.

It is an arithmetic number, because the mean of its divisors is an integer number (2310399).

Almost surely, 2^47948500 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 47948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55449576).

47948500 is an abundant number, since it is smaller than the sum of its proper divisors (62950652).

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

47948500 is a wasteful number, since it uses less digits than its factorization.

47948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5665 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 47948500 is about 6924.4855404571. The cubic root of 47948500 is about 363.2940974568.

The spelling of 47948500 in words is "forty-seven million, nine hundred forty-eight thousand, five hundred".