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842682841 = 72112132292
BaseRepresentation
bin110010001110100…
…101000111011001
32011201122201112121
4302032211013121
53211211322331
6215341341241
726611454200
oct6216450731
92151581477
10842682841
113a2744100
121b6267821
13105778900
147dcba237
154dea8c11
hex323a51d9

842682841 has 81 divisors (see below), whose sum is σ = 1208358333. Its totient is φ = 585224640.

The previous prime is 842682839. The next prime is 842682847. The reversal of 842682841 is 148286248.

The square root of 842682841 is 29029.

It is a perfect power (a square), and thus also a powerful number.

842682841 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 108056025 + 734626816 = 10395^2 + 27104^2 .

It is not a de Polignac number, because 842682841 - 21 = 842682839 is a prime.

It is a super-2 number, since 2×8426828412 = 1420228741031662562, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (842682847) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29058015 + ... + 29058043.

Almost surely, 2842682841 is an apocalyptic number.

842682841 is the 29029-th square number.

842682841 is the 14515-th centered octagonal number.

It is an amenable number.

842682841 is a deficient number, since it is larger than the sum of its proper divisors (365675492).

842682841 is a wasteful number, since it uses less digits than its factorization.

842682841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The cubic root of 842682841 is about 944.5422382851.

The spelling of 842682841 in words is "eight hundred forty-two million, six hundred eighty-two thousand, eight hundred forty-one".

Divisors: 1 7 11 13 29 49 77 91 121 143 169 203 319 377 539 637 841 847 1001 1183 1421 1573 1859 2233 2639 3509 4147 4901 5887 5929 7007 8281 9251 10933 11011 13013 15631 18473 20449 24563 29029 34307 41209 45617 53911 64757 76531 77077 91091 101761 120263 142129 143143 171941 203203 240149 319319 377377 453299 535717 593021 712327 841841 994903 1002001 1322893 1563419 2235233 2641639 4151147 4986289 5892887 6964321 9260251 10943933 17197609 29058029 64821757 76607531 120383263 842682841