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400008017 is a prime number
BaseRepresentation
bin10111110101111…
…010001101010001
31000212200111211202
4113311322031101
51304400224032
6103405320545
712625004063
oct2765721521
91025614752
10400008017
11195880a42
12b1b66155
1364b45146
143b1a7733
15251b5d62
hex17d7a351

400008017 has 2 divisors, whose sum is σ = 400008018. Its totient is φ = 400008016.

The previous prime is 400008001. The next prime is 400008043. The reversal of 400008017 is 710800004.

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., 389825536 + 10182481 = 19744^2 + 3191^2 .

It is a cyclic number.

It is not a de Polignac number, because 400008017 - 24 = 400008001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 400008017.

It is not a weakly prime, because it can be changed into another prime (400005017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200004008 + 200004009.

It is an arithmetic number, because the mean of its divisors is an integer number (200004009).

Almost surely, 2400008017 is an apocalyptic number.

It is an amenable number.

400008017 is a deficient number, since it is larger than the sum of its proper divisors (1).

400008017 is an equidigital number, since it uses as much as digits as its factorization.

400008017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 400008017 is about 20000.2004239958. The cubic root of 400008017 is about 736.8112221753.

The spelling of 400008017 in words is "four hundred million, eight thousand, seventeen".