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826316461 is a prime number
BaseRepresentation
bin110001010000001…
…001011010101101
32010120212020002101
4301100021122231
53143014111321
6213554455101
726322400615
oct6120113255
92116766071
10826316461
11394485873
121b0894491
13102268369
147ba59a45
154c824791
hex314096ad

826316461 has 2 divisors, whose sum is σ = 826316462. Its totient is φ = 826316460.

The previous prime is 826316453. The next prime is 826316471. The reversal of 826316461 is 164613628.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 434514025 + 391802436 = 20845^2 + 19794^2 .

It is a cyclic number.

It is not a de Polignac number, because 826316461 - 23 = 826316453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 826316461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (826316411) 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 as a sum of consecutive naturals, namely, 413158230 + 413158231.

It is an arithmetic number, because the mean of its divisors is an integer number (413158231).

Almost surely, 2826316461 is an apocalyptic number.

It is an amenable number.

826316461 is a deficient number, since it is larger than the sum of its proper divisors (1).

826316461 is an equidigital number, since it uses as much as digits as its factorization.

826316461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 37.

The square root of 826316461 is about 28745.7207423992. The cubic root of 826316461 is about 938.3873288051.

The spelling of 826316461 in words is "eight hundred twenty-six million, three hundred sixteen thousand, four hundred sixty-one".