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842146317 = 32109858457
BaseRepresentation
bin110010001100100…
…010001000001101
32011200122110120100
4302030202020031
53211042140232
6215322041313
726604061035
oct6214421015
92150573510
10842146317
113a2407aa1
121b6049239
1310561b63c
147dbba8c5
154ddeec7c
hex3232220d

842146317 has 12 divisors (see below), whose sum is σ = 1227594940. Its totient is φ = 556279488.

The previous prime is 842146301. The next prime is 842146339. The reversal of 842146317 is 713641248.

842146317 is a `hidden beast` number, since 8 + 4 + 2 + 14 + 631 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 629307396 + 212838921 = 25086^2 + 14589^2 .

It is not a de Polignac number, because 842146317 - 24 = 842146301 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 (842146387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 428248 + ... + 430209.

Almost surely, 2842146317 is an apocalyptic number.

It is an amenable number.

842146317 is a deficient number, since it is larger than the sum of its proper divisors (385448623).

842146317 is a wasteful number, since it uses less digits than its factorization.

842146317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858572 (or 858569 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 842146317 is about 29019.7573559808. The cubic root of 842146317 is about 944.3417369243.

The spelling of 842146317 in words is "eight hundred forty-two million, one hundred forty-six thousand, three hundred seventeen".

Divisors: 1 3 9 109 327 981 858457 2575371 7726113 93571813 280715439 842146317