49982000 has 80 divisors (see below), whose sum is σ = 122989152. Its totient is φ = 19641600.

The previous prime is 49981999. The next prime is 49982003. The reversal of 49982000 is 28994.

49982000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (49982003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133814 + ... + 134186.

Almost surely, 2^49982000 is an apocalyptic number.

49982000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61494576).

49982000 is an abundant number, since it is smaller than the sum of its proper divisors (73007152).

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

49982000 is a wasteful number, since it uses less digits than its factorization.

49982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 49982000 is about 7069.7949050874. The cubic root of 49982000 is about 368.3589361800.

The spelling of 49982000 in words is "forty-nine million, nine hundred eighty-two thousand".