47748200 has 48 divisors (see below), whose sum is σ = 111679980. Its totient is φ = 18984960.

The previous prime is 47748191. The next prime is 47748203. The reversal of 47748200 is 284774.

It can be written as a sum of positive squares in 6 ways, for example, as 17123044 + 30625156 = 4138^2 + 5534^2 .

It is not an unprimeable number, because it can be changed into a prime (47748203) 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 11 ways as a sum of consecutive naturals, for example, 37982 + ... + 39218.

Almost surely, 2^47748200 is an apocalyptic number.

47748200 is a gapful number since it is divisible by the number (40) 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 47748200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55839990).

47748200 is an abundant number, since it is smaller than the sum of its proper divisors (63931780).

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

47748200 is a wasteful number, since it uses less digits than its factorization.

47748200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 32.

The square root of 47748200 is about 6910.0072358862. The cubic root of 47748200 is about 362.7875166444.

The spelling of 47748200 in words is "forty-seven million, seven hundred forty-eight thousand, two hundred".