47936736 has 72 divisors (see below), whose sum is σ = 144353664. Its totient is φ = 15037440.

The previous prime is 47936731. The next prime is 47936741. The reversal of 47936736 is 63763974.

47936736 is a nontrivial binomial coefficient, being equal to C(9792, 2).

It is an interprime number because it is at equal distance from previous prime (47936731) and next prime (47936741).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 47936691 and 47936700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47936731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 9791.

It is an arithmetic number, because the mean of its divisors is an integer number (2004912).

Almost surely, 2^47936736 is an apocalyptic number.

47936736 is the 9791-st triangular number and also the 4896-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47936736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832).

47936736 is an abundant number, since it is smaller than the sum of its proper divisors (96416928).

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

47936736 is a wasteful number, since it uses less digits than its factorization.

47936736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9824 (or 9813 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 47936736 is about 6923.6360389610. The cubic root of 47936736 is about 363.2643840397.

The spelling of 47936736 in words is "forty-seven million, nine hundred thirty-six thousand, seven hundred thirty-six".