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1082811942 = 23353397953
BaseRepresentation
bin100000010001010…
…0110011000100110
32210110111112202000
41000202212120212
54204144440232
6255240230130
735555515062
oct10042463046
92713445660
101082811942
11506245703
1226276b346
13143443434
14a3b46aa2
15650dd27c
hex408a6626

1082811942 has 64 divisors (see below), whose sum is σ = 2460404160. Its totient is φ = 352864512.

The previous prime is 1082811907. The next prime is 1082811953. The reversal of 1082811942 is 2491182801.

It is a happy number.

It is a super-2 number, since 2×10828119422 = 2344963403475622728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1082811897 and 1082811906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135738 + ... + 1136690.

It is an arithmetic number, because the mean of its divisors is an integer number (38443815).

Almost surely, 21082811942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082811942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230202080).

1082811942 is an abundant number, since it is smaller than the sum of its proper divisors (1377592218).

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

1082811942 is a wasteful number, since it uses less digits than its factorization.

1082811942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1082811942 is about 32906.1079740525. The cubic root of 1082811942 is about 1026.8752321023.

The spelling of 1082811942 in words is "one billion, eighty-two million, eight hundred eleven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 397 477 794 953 954 1191 1431 1906 2382 2859 2862 3573 5718 7146 8577 10719 17154 21041 21438 25731 42082 50509 51462 63123 101018 126246 151527 189369 303054 378341 378738 454581 568107 756682 909162 1135023 1136214 1363743 2270046 2727486 3405069 6810138 10215207 20052073 20430414 40104146 60156219 120312438 180468657 360937314 541405971 1082811942