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2028007982 = 2721113473079
BaseRepresentation
bin111100011100000…
…1111001000101110
312020100001110221202
41320320033020232
513123132223412
6533123125502
7101153532500
oct17070171056
95210043852
102028007982
11950837460
12487213892
13264202730
141534a9d70
15bd0963c2
hex78e0f22e

2028007982 has 96 divisors (see below), whose sum is σ = 4247147520. Its totient is φ = 713603520.

The previous prime is 2028007981. The next prime is 2028008027. The reversal of 2028007982 is 2897008202.

It is a super-2 number, since 2×20280079822 = 8225632750111424648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2028007981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657119 + ... + 660197.

It is an arithmetic number, because the mean of its divisors is an integer number (44241120).

Almost surely, 22028007982 is an apocalyptic number.

2028007982 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2028007982 is an abundant number, since it is smaller than the sum of its proper divisors (2219139538).

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

2028007982 is a wasteful number, since it uses less digits than its factorization.

2028007982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3166 (or 3159 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 2028007982 is about 45033.4096199699. The cubic root of 2028007982 is about 1265.7751152670.

The spelling of 2028007982 in words is "two billion, twenty-eight million, seven thousand, nine hundred eighty-two".

Divisors: 1 2 7 11 13 14 22 26 47 49 77 91 94 98 143 154 182 286 329 517 539 611 637 658 1001 1034 1078 1222 1274 2002 2303 3079 3619 4277 4606 6158 6721 7007 7238 8554 13442 14014 21553 25333 29939 33869 40027 43106 47047 50666 59878 67738 80054 94094 144713 150871 237083 280189 289426 301742 329329 440297 474166 560378 658658 880594 1012991 1591843 1659581 1881269 1961323 2025982 3082079 3183686 3319162 3762538 3922646 6164158 7090937 11142901 13168883 14181874 20693959 21574553 22285802 26337766 41387918 43149106 78000307 92182181 144857713 156000614 184364362 289715426 1014003991 2028007982