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842729517 = 32713376659
BaseRepresentation
bin110010001110110…
…000100000101101
32011201202002120100
4302032300200231
53211214321032
6215342341313
726612040240
oct6216604055
92151662510
10842729517
113a2776183
121b628a839
13105793c26
147dccd257
154deb797c
hex323b082d

842729517 has 12 divisors (see below), whose sum is σ = 1391172640. Its totient is φ = 481559688.

The previous prime is 842729507. The next prime is 842729549. The reversal of 842729517 is 715927248.

It is a happy number.

It is not a de Polignac number, because 842729517 - 226 = 775620653 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842729507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6688267 + ... + 6688392.

Almost surely, 2842729517 is an apocalyptic number.

It is an amenable number.

842729517 is a deficient number, since it is larger than the sum of its proper divisors (548443123).

842729517 is a wasteful number, since it uses less digits than its factorization.

842729517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13376672 (or 13376669 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 842729517 is about 29029.8039435336. The cubic root of 842729517 is about 944.5596772856.

The spelling of 842729517 in words is "eight hundred forty-two million, seven hundred twenty-nine thousand, five hundred seventeen".

Divisors: 1 3 7 9 21 63 13376659 40129977 93636613 120389931 280909839 842729517