47952576 has 126 divisors (see below), whose sum is σ = 159981900. Its totient is φ = 13692672.

The previous prime is 47952559. The next prime is 47952589. The reversal of 47952576 is 67525974.

47952576 is a `hidden beast` number, since 4 + 79 + 5 + 2 + 576 = 666.

47952576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (126).

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 17 ways as a sum of consecutive naturals, for example, 27375 + ... + 29073.

Almost surely, 2^47952576 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 47952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79990950).

47952576 is an abundant number, since it is smaller than the sum of its proper divisors (112029324).

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

47952576 is a wasteful number, since it uses less digits than its factorization.

47952576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1711 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 47952576 is about 6924.7798520964. The cubic root of 47952576 is about 363.3043914513.

The spelling of 47952576 in words is "forty-seven million, nine hundred fifty-two thousand, five hundred seventy-six".