47848608 has 144 divisors (see below), whose sum is σ = 149483880. Its totient is φ = 14450688.

The previous prime is 47848601. The next prime is 47848609. The reversal of 47848608 is 80684874.

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 5702544 = 6492^2 + 2388^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47848601) 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, 141816 + ... + 142152.

Almost surely, 2^47848608 is an apocalyptic number.

47848608 is a gapful number since it is divisible by the number (48) 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 47848608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74741940).

47848608 is an abundant number, since it is smaller than the sum of its proper divisors (101635272).

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

47848608 is a wasteful number, since it uses less digits than its factorization.

47848608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47848608 is about 6917.2688251939. The cubic root of 47848608 is about 363.0416362778.

Adding to 47848608 its sum of digits (45), we get a triangular number (47848653 = T₉₇₈₂).

The spelling of 47848608 in words is "forty-seven million, eight hundred forty-eight thousand, six hundred eight".