47648025 has 36 divisors (see below), whose sum is σ = 90370332. Its totient is φ = 23915520.

The previous prime is 47648021. The next prime is 47648039. The reversal of 47648025 is 52084674.

47648025 is a `hidden beast` number, since 4 + 7 + 648 + 0 + 2 + 5 = 666.

47648025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 46090521 = 1248^2 + 6789^2 .

It is not a de Polignac number, because 47648025 - 2² = 47648021 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47648021) 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 35 ways as a sum of consecutive naturals, for example, 2404 + ... + 10053.

It is an arithmetic number, because the mean of its divisors is an integer number (2510287).

Almost surely, 2^47648025 is an apocalyptic number.

47648025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47648025 is a deficient number, since it is larger than the sum of its proper divisors (42722307).

47648025 is a wasteful number, since it uses less digits than its factorization.

47648025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12490 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47648025 is about 6902.7548848268. The cubic root of 47648025 is about 362.5336314417.

The spelling of 47648025 in words is "forty-seven million, six hundred forty-eight thousand, twenty-five".