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395648393 = 7273110609
BaseRepresentation
bin10111100101010…
…001110110001001
31000120111000120012
4113211101312021
51302241222033
6103132041305
712542645600
oct2745216611
91016430505
10395648393
11193373548
12b0603235
1363c7999a
143a790a37
1524b04248
hex17951d89

395648393 has 12 divisors (see below), whose sum is σ = 466552980. Its totient is φ = 334478592.

The previous prime is 395648371. The next prime is 395648413. The reversal of 395648393 is 393846593.

It can be written as a sum of positive squares in 2 ways, for example, as 296287369 + 99361024 = 17213^2 + 9968^2 .

It is not a de Polignac number, because 395648393 - 28 = 395648137 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 (395642393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51728 + ... + 58881.

It is an arithmetic number, because the mean of its divisors is an integer number (38879415).

Almost surely, 2395648393 is an apocalyptic number.

It is an amenable number.

395648393 is a deficient number, since it is larger than the sum of its proper divisors (70904587).

395648393 is a wasteful number, since it uses less digits than its factorization.

395648393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110696 (or 110689 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 50.

The square root of 395648393 is about 19890.9123219625. The cubic root of 395648393 is about 734.1246419459.

The spelling of 395648393 in words is "three hundred ninety-five million, six hundred forty-eight thousand, three hundred ninety-three".

Divisors: 1 7 49 73 511 3577 110609 774263 5419841 8074457 56521199 395648393