47634048 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 12303360.

The previous prime is 47634047. The next prime is 47634071. The reversal of 47634048 is 84043674.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47634047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266023 + ... + 266201.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^47634048 is an apocalyptic number.

47634048 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 47634048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

47634048 is an abundant number, since it is smaller than the sum of its proper divisors (128621952).

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

47634048 is a wasteful number, since it uses less digits than its factorization.

47634048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 47634048 is about 6901.7423887016. The cubic root of 47634048 is about 362.4981796183.

The spelling of 47634048 in words is "forty-seven million, six hundred thirty-four thousand, forty-eight".