47738264 has 64 divisors (see below), whose sum is σ = 106997760. Its totient is φ = 19537920.

The previous prime is 47738239. The next prime is 47738287. The reversal of 47738264 is 46283774.

47738264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 185624 + ... + 185880.

It is an arithmetic number, because the mean of its divisors is an integer number (1671840).

Almost surely, 2^47738264 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 47738264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53498880).

47738264 is an abundant number, since it is smaller than the sum of its proper divisors (59259496).

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

47738264 is a wasteful number, since it uses less digits than its factorization.

47738264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 225792, while the sum is 41.

The square root of 47738264 is about 6909.2882412011. The cubic root of 47738264 is about 362.7623505521.

The spelling of 47738264 in words is "forty-seven million, seven hundred thirty-eight thousand, two hundred sixty-four".