49782 has 8 divisors (see below), whose sum is σ = 99576. Its totient is φ = 16592.

The previous prime is 49757. The next prime is 49783. The reversal of 49782 is 28794.

49782 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

49782 is an admirable number.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49782.

It is not an unprimeable number, because it can be changed into a prime (49783) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4143 + ... + 4154.

It is an arithmetic number, because the mean of its divisors is an integer number (12447).

2⁴⁹⁷⁸² is an apocalyptic number.

49782 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49788).

49782 is a wasteful number, since it uses less digits than its factorization.

49782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302.

The product of its digits is 4032, while the sum is 30.

The square root of 49782 is about 223.1188024349. The cubic root of 49782 is about 36.7866957263.

The spelling of 49782 in words is "forty-nine thousand, seven hundred eighty-two".