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395242593 = 35910122109
BaseRepresentation
bin10111100011101…
…110110001100001
31000112201101220120
4113203232301201
51302140230333
6103115230453
712536335524
oct2743566141
91015641816
10395242593
11193116679
12b0448429
1363b67075
143a6c6bbb
1524a73db3
hex178eec61

395242593 has 16 divisors (see below), whose sum is σ = 541252800. Its totient is φ = 256452800.

The previous prime is 395242567. The next prime is 395242657.

395242593 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 395242593 - 213 = 395234401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (395242543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6823 + ... + 28931.

It is an arithmetic number, because the mean of its divisors is an integer number (33828300).

Almost surely, 2395242593 is an apocalyptic number.

It is an amenable number.

395242593 is a deficient number, since it is larger than the sum of its proper divisors (146010207).

395242593 is a wasteful number, since it uses less digits than its factorization.

395242593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22272.

The product of its digits is 291600, while the sum is 42.

The square root of 395242593 is about 19880.7090668316. The cubic root of 395242593 is about 733.8735691133.

The spelling of 395242593 in words is "three hundred ninety-five million, two hundred forty-two thousand, five hundred ninety-three".

Divisors: 1 3 59 101 177 303 5959 17877 22109 66327 1304431 2233009 3913293 6699027 131747531 395242593