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393095444 = 227217311593
BaseRepresentation
bin10111011011100…
…010100100010100
31000101200022120112
4113123202210110
51301113023234
6103001222152
712512153600
oct2733424424
91011608515
10393095444
1119198a475
12ab791958
1363594971
143a2c8500
152479cace
hex176e2914

393095444 has 36 divisors (see below), whose sum is σ = 804925044. Its totient is φ = 167481216.

The previous prime is 393095441. The next prime is 393095453. The reversal of 393095444 is 444590393.

It can be written as a sum of positive squares in 2 ways, for example, as 366263044 + 26832400 = 19138^2 + 5180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393095441) 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, 28112 + ... + 39704.

It is an arithmetic number, because the mean of its divisors is an integer number (22359029).

Almost surely, 2393095444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393095444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402462522).

393095444 is an abundant number, since it is smaller than the sum of its proper divisors (411829600).

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

393095444 is a wasteful number, since it uses less digits than its factorization.

393095444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11784 (or 11775 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The square root of 393095444 is about 19826.6347119222. The cubic root of 393095444 is about 732.5422366122.

The spelling of 393095444 in words is "three hundred ninety-three million, ninety-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 173 196 346 692 1211 2422 4844 8477 11593 16954 23186 33908 46372 81151 162302 324604 568057 1136114 2005589 2272228 4011178 8022356 14039123 28078246 56156492 98273861 196547722 393095444