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393204209 = 472178001
BaseRepresentation
bin10111011011111…
…101000111110001
31000101212211202212
4113123331013301
51301130013314
6103003421505
712513115646
oct2733750761
91011784685
10393204209
11191a54162
12ab824895
1363602318
143a315dcd
15247bee3e
hex176fd1f1

393204209 has 6 divisors (see below), whose sum is σ = 401750514. Its totient is φ = 384836000.

The previous prime is 393204187. The next prime is 393204223. The reversal of 393204209 is 902402393.

It can be written as a sum of positive squares in only one way, i.e., 380445025 + 12759184 = 19505^2 + 3572^2 .

It is not a de Polignac number, because 393204209 - 212 = 393200113 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (393204239) 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 in 5 ways as a sum of consecutive naturals, for example, 86792 + ... + 91209.

It is an arithmetic number, because the mean of its divisors is an integer number (66958419).

Almost surely, 2393204209 is an apocalyptic number.

It is an amenable number.

393204209 is a deficient number, since it is larger than the sum of its proper divisors (8546305).

393204209 is an equidigital number, since it uses as much as digits as its factorization.

393204209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178095 (or 178048 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 393204209 is about 19829.3774234089. The cubic root of 393204209 is about 732.6097923931.

The spelling of 393204209 in words is "three hundred ninety-three million, two hundred four thousand, two hundred nine".

Divisors: 1 47 2209 178001 8366047 393204209