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842600317 = 131572931409
BaseRepresentation
bin110010001110010…
…000111101111101
32011201111112100011
4302032100331331
53211201202232
6215335503221
726610661456
oct6216207575
92151445304
10842600317
113a26980a9
121b6227b11
1310574a190
147dc9812d
154de8e547
hex32390f7d

842600317 has 16 divisors (see below), whose sum is σ = 916962480. Its totient is φ = 769646592.

The previous prime is 842600309. The next prime is 842600329. The reversal of 842600317 is 713006248.

It can be written as a sum of positive squares in 8 ways, for example, as 105966436 + 736633881 = 10294^2 + 27141^2 .

It is not a de Polignac number, because 842600317 - 23 = 842600309 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 (842600387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 597309 + ... + 598717.

It is an arithmetic number, because the mean of its divisors is an integer number (57310155).

Almost surely, 2842600317 is an apocalyptic number.

It is an amenable number.

842600317 is a deficient number, since it is larger than the sum of its proper divisors (74362163).

842600317 is a wasteful number, since it uses less digits than its factorization.

842600317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 842600317 is about 29027.5785590187. The cubic root of 842600317 is about 944.5114042455.

The spelling of 842600317 in words is "eight hundred forty-two million, six hundred thousand, three hundred seventeen".

Divisors: 1 13 157 293 1409 2041 3809 18317 46001 221213 412837 598013 2875769 5366881 64815409 842600317