47598048 has 144 divisors (see below), whose sum is σ = 144471600. Its totient is φ = 14837760.

The previous prime is 47598043. The next prime is 47598071. The reversal of 47598048 is 84089574.

47598048 = 22³ + 23³ + ... + 117³.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 47597994 and 47598012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47598043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342363 + ... + 342501.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^47598048 is an apocalyptic number.

47598048 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 47598048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72235800).

47598048 is an abundant number, since it is smaller than the sum of its proper divisors (96873552).

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

47598048 is a wasteful number, since it uses less digits than its factorization.

47598048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 47598048 is about 6899.1338586811. The cubic root of 47598048 is about 362.4068358285.

The spelling of 47598048 in words is "forty-seven million, five hundred ninety-eight thousand, forty-eight".