47493648 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 14321664.

The previous prime is 47493647. The next prime is 47493683. The reversal of 47493648 is 84639474.

It is not an unprimeable number, because it can be changed into a prime (47493647) 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, 212865 + ... + 213087.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^47493648 is an apocalyptic number.

47493648 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 47493648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

47493648 is an abundant number, since it is smaller than the sum of its proper divisors (102496752).

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

47493648 is a wasteful number, since it uses less digits than its factorization.

47493648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 47493648 is about 6891.5635381240. The cubic root of 47493648 is about 362.1416781087.

The spelling of 47493648 in words is "forty-seven million, four hundred ninety-three thousand, six hundred forty-eight".