47993616 has 120 divisors (see below), whose sum is σ = 150302880. Its totient is φ = 14169600.

The previous prime is 47993599. The next prime is 47993623. The reversal of 47993616 is 61639974.

It is an unprimeable number.

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, 64575 + ... + 65313.

It is an arithmetic number, because the mean of its divisors is an integer number (1252524).

Almost surely, 2^47993616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47993616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75151440).

47993616 is an abundant number, since it is smaller than the sum of its proper divisors (102309264).

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

47993616 is a wasteful number, since it uses less digits than its factorization.

47993616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 796 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 47993616 is about 6927.7424894406. The cubic root of 47993616 is about 363.4080060495.

The spelling of 47993616 in words is "forty-seven million, nine hundred ninety-three thousand, six hundred sixteen".