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826468801 is a prime number
BaseRepresentation
bin110001010000101…
…110100111000001
32010121010222001121
4301100232213001
53143034000201
6214002032241
726323604014
oct6120564701
92117128047
10826468801
1139457a274
121b0948681
131022bc7c2
147ba9937b
154c8549a1
hex3142e9c1

826468801 has 2 divisors, whose sum is σ = 826468802. Its totient is φ = 826468800.

The previous prime is 826468793. The next prime is 826468813. The reversal of 826468801 is 108864628.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 673921600 + 152547201 = 25960^2 + 12351^2 .

It is a cyclic number.

It is not a de Polignac number, because 826468801 - 23 = 826468793 is a prime.

It is not a weakly prime, because it can be changed into another prime (826468831) 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, 413234400 + 413234401.

It is an arithmetic number, because the mean of its divisors is an integer number (413234401).

Almost surely, 2826468801 is an apocalyptic number.

It is an amenable number.

826468801 is a deficient number, since it is larger than the sum of its proper divisors (1).

826468801 is an equidigital number, since it uses as much as digits as its factorization.

826468801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 43.

The square root of 826468801 is about 28748.3704059900. The cubic root of 826468801 is about 938.4449924034. Note that the first 3 decimals are identical.

The spelling of 826468801 in words is "eight hundred twenty-six million, four hundred sixty-eight thousand, eight hundred one".