47281632 has 48 divisors (see below), whose sum is σ = 125983872. Its totient is φ = 15523200.

The previous prime is 47281621. The next prime is 47281643. The reversal of 47281632 is 23618274.

47281632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47281621) and next prime (47281643).

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 47281593 and 47281602.

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 7 ways as a sum of consecutive naturals, for example, 2757 + ... + 10107.

It is an arithmetic number, because the mean of its divisors is an integer number (2624664).

Almost surely, 2^47281632 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 47281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62991936).

47281632 is an abundant number, since it is smaller than the sum of its proper divisors (78702240).

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

47281632 is a wasteful number, since it uses less digits than its factorization.

47281632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7423 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 47281632 is about 6876.1640469087. The cubic root of 47281632 is about 361.6019963604.

The spelling of 47281632 in words is "forty-seven million, two hundred eighty-one thousand, six hundred thirty-two".