47936 has 28 divisors (see below), whose sum is σ = 109728. Its totient is φ = 20352.

The previous prime is 47933. The next prime is 47939. The reversal of 47936 is 63974.

It is an interprime number because it is at equal distance from previous prime (47933) and next prime (47939).

It is a tau number, because it is divible by the number of its divisors (28).

Its product of digits (4536) is a multiple of the sum of its prime factors (126).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 47899 and 47908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 395 + ... + 501.

2⁴⁷⁹³⁶ 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 47936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864).

47936 is an abundant number, since it is smaller than the sum of its proper divisors (61792).

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

47936 is a wasteful number, since it uses less digits than its factorization.

47936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 47936 is about 218.9429149345. The cubic root of 47936 is about 36.3262524895.

It can be divided in two parts, 479 and 36, that added together give a palindrome (515).

The spelling of 47936 in words is "forty-seven thousand, nine hundred thirty-six".