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840491561 = 72133121373
BaseRepresentation
bin110010000110001…
…110001000101001
32011120112101200002
4302012032020221
53210131212221
6215222352345
726554026500
oct6206161051
92146471602
10840491561
113a1487828
121b558b6b5
1310518c3b0
147d8a9837
154dbc480b
hex3218e229

840491561 has 36 divisors (see below), whose sum is σ = 1088776836. Its totient is φ = 643083840.

The previous prime is 840491551. The next prime is 840491563. The reversal of 840491561 is 165194048.

It can be written as a sum of positive squares in 2 ways, for example, as 539121961 + 301369600 = 23219^2 + 17360^2 .

It is a de Polignac number, because none of the positive numbers 2k-840491561 is a prime.

It is a super-3 number, since 3×8404915613 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (840491563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 611471 + ... + 612843.

It is an arithmetic number, because the mean of its divisors is an integer number (30243801).

Almost surely, 2840491561 is an apocalyptic number.

It is an amenable number.

840491561 is a deficient number, since it is larger than the sum of its proper divisors (248285275).

840491561 is a wasteful number, since it uses less digits than its factorization.

840491561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 840491561 is about 28991.2324850117. The cubic root of 840491561 is about 943.7228105203.

The spelling of 840491561 in words is "eight hundred forty million, four hundred ninety-one thousand, five hundred sixty-one".

Divisors: 1 7 13 31 49 91 217 403 637 961 1373 1519 2821 6727 9611 12493 17849 19747 42563 47089 67277 87451 124943 297941 553319 612157 874601 1319453 2085587 3873233 9236171 17152889 27112631 64653197 120070223 840491561