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395900557 = 1330619949
BaseRepresentation
bin10111100110001…
…111011010001101
31000120221211110121
4113212033122031
51302322304212
6103141304541
712545046013
oct2746173215
91016854417
10395900557
11193525a48
12b0705151
13640376b0
143a8188b3
1524b53d07
hex1798f68d

395900557 has 8 divisors (see below), whose sum is σ = 426536600. Its totient is φ = 365290560.

The previous prime is 395900537. The next prime is 395900563. The reversal of 395900557 is 755009593.

It can be written as a sum of positive squares in 4 ways, for example, as 68326756 + 327573801 = 8266^2 + 18099^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 395900557 - 27 = 395900429 is a prime.

It is a deceptive number, since it divides R395900556.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395900537) 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 in 7 ways as a sum of consecutive naturals, for example, 34819 + ... + 44767.

It is an arithmetic number, because the mean of its divisors is an integer number (53317075).

It is a Poulet number, since it divides 2395900556-1.

Almost surely, 2395900557 is an apocalyptic number.

395900557 is the 9949-th decagonal number.

It is an amenable number.

395900557 is a deficient number, since it is larger than the sum of its proper divisors (30636043).

395900557 is a wasteful number, since it uses less digits than its factorization.

395900557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023.

The product of its (nonzero) digits is 212625, while the sum is 43.

The square root of 395900557 is about 19897.2499858649. The cubic root of 395900557 is about 734.2805720555.

The spelling of 395900557 in words is "three hundred ninety-five million, nine hundred thousand, five hundred fifty-seven".

Divisors: 1 13 3061 9949 39793 129337 30453889 395900557