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802088801 is a prime number
BaseRepresentation
bin101111110011101…
…110011101100001
32001220021022222122
4233303232131201
53120313320201
6211331314025
725606433213
oct5763563541
92056238878
10802088801
11381838208
121a474b915
13ca234877
14787505b3
154a63ae1b
hex2fcee761

802088801 has 2 divisors, whose sum is σ = 802088802. Its totient is φ = 802088800.

The previous prime is 802088789. The next prime is 802088813. The reversal of 802088801 is 108880208.

It is a balanced prime because it is at equal distance from previous prime (802088789) and next prime (802088813).

It can be written as a sum of positive squares in only one way, i.e., 792478801 + 9610000 = 28151^2 + 3100^2 .

It is a cyclic number.

It is not a de Polignac number, because 802088801 - 210 = 802087777 is a prime.

It is not a weakly prime, because it can be changed into another prime (802088851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401044400 + 401044401.

It is an arithmetic number, because the mean of its divisors is an integer number (401044401).

Almost surely, 2802088801 is an apocalyptic number.

It is an amenable number.

802088801 is a deficient number, since it is larger than the sum of its proper divisors (1).

802088801 is an equidigital number, since it uses as much as digits as its factorization.

802088801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8192, while the sum is 35.

The square root of 802088801 is about 28321.1723097756. The cubic root of 802088801 is about 929.1250108410.

The spelling of 802088801 in words is "eight hundred two million, eighty-eight thousand, eight hundred one".