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842805441 = 32409228961
BaseRepresentation
bin110010001111000…
…011000011000001
32011201212221201100
4302033003003001
53211224233231
6215344125013
726612504502
oct6217030301
92151787640
10842805441
113a2818225
121b6306769
131057bc65a
147dd0cba9
154ded01e6
hex323c30c1

842805441 has 12 divisors (see below), whose sum is σ = 1220367460. Its totient is φ = 560494080.

The previous prime is 842805407. The next prime is 842805449. The reversal of 842805441 is 144508248.

It can be written as a sum of positive squares in 2 ways, for example, as 678863025 + 163942416 = 26055^2 + 12804^2 .

It is not a de Polignac number, because 842805441 - 26 = 842805377 is a prime.

It is a super-2 number, since 2×8428054412 = 1420642022758408962, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 842805396 and 842805405.

It is not an unprimeable number, because it can be changed into a prime (842805449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110800 + ... + 118161.

Almost surely, 2842805441 is an apocalyptic number.

It is an amenable number.

842805441 is a deficient number, since it is larger than the sum of its proper divisors (377562019).

842805441 is a wasteful number, since it uses less digits than its factorization.

842805441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229376 (or 229373 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 842805441 is about 29031.1116046217. Note that the first 3 decimals coincide. The cubic root of 842805441 is about 944.5880424941.

The spelling of 842805441 in words is "eight hundred forty-two million, eight hundred five thousand, four hundred forty-one".

Divisors: 1 3 9 409 1227 3681 228961 686883 2060649 93645049 280935147 842805441