47199648 has 96 divisors (see below), whose sum is σ = 132148800. Its totient is φ = 14708736.

The previous prime is 47199641. The next prime is 47199653. The reversal of 47199648 is 84699174.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 47199597 and 47199606.

It is not an unprimeable number, because it can be changed into a prime (47199641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205998 + ... + 206226.

It is an arithmetic number, because the mean of its divisors is an integer number (1376550).

Almost surely, 2^47199648 is an apocalyptic number.

47199648 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 47199648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66074400).

47199648 is an abundant number, since it is smaller than the sum of its proper divisors (84949152).

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

47199648 is a wasteful number, since it uses less digits than its factorization.

47199648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 366 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 47199648 is about 6870.1999970889. The cubic root of 47199648 is about 361.3928754820.

The spelling of 47199648 in words is "forty-seven million, one hundred ninety-nine thousand, six hundred forty-eight".