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804000401 is a prime number
BaseRepresentation
bin101111111011000…
…001001010010001
32002000212110012122
4233323001022101
53121311003101
6211440304025
725631614331
oct5773011221
92060773178
10804000401
11382923446
121a5312015
13ca7539a9
1478acb0c1
154a8b751b
hex2fec1291

804000401 has 2 divisors, whose sum is σ = 804000402. Its totient is φ = 804000400.

The previous prime is 804000389. The next prime is 804000419. The reversal of 804000401 is 104000408.

It is a happy number.

804000401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 570063376 + 233937025 = 23876^2 + 15295^2 .

It is a cyclic number.

It is not a de Polignac number, because 804000401 - 214 = 803984017 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 804000401.

It is not a weakly prime, because it can be changed into another prime (804000481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 402000200 + 402000201.

It is an arithmetic number, because the mean of its divisors is an integer number (402000201).

Almost surely, 2804000401 is an apocalyptic number.

It is an amenable number.

804000401 is a deficient number, since it is larger than the sum of its proper divisors (1).

804000401 is an equidigital number, since it uses as much as digits as its factorization.

804000401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 804000401 is about 28354.9008286046. The cubic root of 804000401 is about 929.8625460706.

Adding to 804000401 its reverse (104000408), we get a palindrome (908000809).

The spelling of 804000401 in words is "eight hundred four million, four hundred one", and thus it is an aban number.