47893632 has 64 divisors (see below), whose sum is σ = 128079360. Its totient is φ = 15856640.

The previous prime is 47893631. The next prime is 47893633. The reversal of 47893632 is 23639874.

It is an interprime number because it is at equal distance from previous prime (47893631) and next prime (47893633).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (47893631) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 73018 + ... + 73670.

It is an arithmetic number, because the mean of its divisors is an integer number (2001240).

Almost surely, 2^47893632 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 47893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039680).

47893632 is an abundant number, since it is smaller than the sum of its proper divisors (80185728).

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

47893632 is a wasteful number, since it uses less digits than its factorization.

47893632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 849 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 47893632 is about 6920.5225236249. The cubic root of 47893632 is about 363.1554707452.

The spelling of 47893632 in words is "forty-seven million, eight hundred ninety-three thousand, six hundred thirty-two".