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826640641 is a prime number
BaseRepresentation
bin110001010001011…
…000100100000001
32010121110200210001
4301101120210001
53143110000031
6214005440001
726325221011
oct6121304401
92117420701
10826640641
11394687392
121b0a10001
1310234ca98
147bb01c41
154c88a861
hex31458901

826640641 has 2 divisors, whose sum is σ = 826640642. Its totient is φ = 826640640.

The previous prime is 826640603. The next prime is 826640669. The reversal of 826640641 is 146046628.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 740057616 + 86583025 = 27204^2 + 9305^2 .

It is a cyclic number.

It is not a de Polignac number, because 826640641 - 223 = 818252033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 826640641.

It is not a weakly prime, because it can be changed into another prime (826640671) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 413320320 + 413320321.

It is an arithmetic number, because the mean of its divisors is an integer number (413320321).

Almost surely, 2826640641 is an apocalyptic number.

It is an amenable number.

826640641 is a deficient number, since it is larger than the sum of its proper divisors (1).

826640641 is an equidigital number, since it uses as much as digits as its factorization.

826640641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 826640641 is about 28751.3589417961. The cubic root of 826640641 is about 938.5100286201.

The spelling of 826640641 in words is "eight hundred twenty-six million, six hundred forty thousand, six hundred forty-one".