4082682820 has 24 divisors (see below), whose sum is σ = 8575034328. Its totient is φ = 1632806400.

The previous prime is 4082682811. The next prime is 4082682829. The reversal of 4082682820 is 282862804.

It is an interprime number because it is at equal distance from previous prime (4082682811) and next prime (4082682829).

It can be written as a sum of positive squares in 4 ways, for example, as 4072324 + 4078610496 = 2018^2 + 63864^2 .

It is a super-3 number, since 3×4082682820³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4082682829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148990 + ... + 174250.

It is an arithmetic number, because the mean of its divisors is an integer number (357293097).

Almost surely, 2^4082682820 is an apocalyptic number.

It is an amenable number.

4082682820 is an abundant number, since it is smaller than the sum of its proper divisors (4492351508).

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

4082682820 is a wasteful number, since it uses less digits than its factorization.

4082682820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33351 (or 33349 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 4082682820 is about 63895.8748277226. The cubic root of 4082682820 is about 1598.2641095463.

The spelling of 4082682820 in words is "four billion, eighty-two million, six hundred eighty-two thousand, eight hundred twenty".