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395325 = 32527251
BaseRepresentation
bin1100000100000111101
3202002021200
41200200331
5100122300
612250113
73234360
oct1404075
9662250
10395325
11250017
12170939
1310ac28
14a40d7
157c200
hex6083d

395325 has 36 divisors (see below), whose sum is σ = 812448. Its totient is φ = 180000.

The previous prime is 395323. The next prime is 395377. The reversal of 395325 is 523593.

It is not a de Polignac number, because 395325 - 21 = 395323 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1450 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (22568).

2395325 is an apocalyptic number.

395325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

395325 is an abundant number, since it is smaller than the sum of its proper divisors (417123).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395325 is a wasteful number, since it uses less digits than its factorization.

395325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 395325 is about 628.7487574540. The cubic root of 395325 is about 73.3924569113.

The spelling of 395325 in words is "three hundred ninety-five thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 251 315 525 753 1255 1575 1757 2259 3765 5271 6275 8785 11295 15813 18825 26355 43925 56475 79065 131775 395325