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395226 = 23313563
BaseRepresentation
bin1100000011111011010
3202002011000
41200133122
5100121401
612245430
73234156
oct1403732
9662130
10395226
1124aa37
12170876
1310ab80
14a4066
157c186
hex607da

395226 has 32 divisors (see below), whose sum is σ = 947520. Its totient is φ = 121392.

The previous prime is 395201. The next prime is 395231. The reversal of 395226 is 622593.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 395226.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395226.

It is an unprimeable number.

395226 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (29610).

2395226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473760).

395226 is an abundant number, since it is smaller than the sum of its proper divisors (552294).

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

395226 is a wasteful number, since it uses less digits than its factorization.

395226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 581 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 395226 is about 628.6700247348. The cubic root of 395226 is about 73.3863299189.

The spelling of 395226 in words is "three hundred ninety-five thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 563 702 1126 1689 3378 5067 7319 10134 14638 15201 21957 30402 43914 65871 131742 197613 395226