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3982882893 = 3111760111813
BaseRepresentation
bin1110110101100101…
…1111100001001101
3101021120111102012020
43231121133201031
531124104223033
61455115000353
7200461642323
oct35531374115
911246442166
103982882893
111764262960
12931a390b9
134b620a552
1429ad79d13
151849e36b3
hexed65f84d

3982882893 has 32 divisors (see below), whose sum is σ = 6144792192. Its totient is φ = 2267904000.

The previous prime is 3982882889. The next prime is 3982882921.

3982882893 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3982882893 - 22 = 3982882889 is a prime.

It is a super-2 number, since 2×39828828932 = 31726712278704098898, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3982882093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331255 + ... + 343067.

It is an arithmetic number, because the mean of its divisors is an integer number (192024756).

Almost surely, 23982882893 is an apocalyptic number.

3982882893 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3982882893 is a deficient number, since it is larger than the sum of its proper divisors (2161909299).

3982882893 is a wasteful number, since it uses less digits than its factorization.

3982882893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12445.

The product of its digits is 11943936, while the sum is 60.

The square root of 3982882893 is about 63110.0855093701. The cubic root of 3982882893 is about 1585.1335049271.

The spelling of 3982882893 in words is "three billion, nine hundred eighty-two million, eight hundred eighty-two thousand, eight hundred ninety-three".

Divisors: 1 3 11 17 33 51 187 561 601 1803 6611 10217 11813 19833 30651 35439 112387 129943 200821 337161 389829 602463 2209031 6627093 7099613 21298839 78095743 120693421 234287229 362080263 1327627631 3982882893