47996100 has 108 divisors (see below), whose sum is σ = 159341364. Its totient is φ = 12042240.

The previous prime is 47996099. The next prime is 47996119. The reversal of 47996100 is 169974.

47996100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6625476 + 41370624 = 2574^2 + 6432^2 .

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

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13732 + ... + 16868.

It is an arithmetic number, because the mean of its divisors is an integer number (1475383).

Almost surely, 2^47996100 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 47996100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79670682).

47996100 is an abundant number, since it is smaller than the sum of its proper divisors (111345264).

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

47996100 is a wasteful number, since it uses less digits than its factorization.

47996100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3164 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 47996100 is about 6927.9217663019. The cubic root of 47996100 is about 363.4142755633.

The spelling of 47996100 in words is "forty-seven million, nine hundred ninety-six thousand, one hundred".