Search a number
-
+
4404105 = 3351719101
BaseRepresentation
bin10000110011001110001001
322021202022000
4100303032021
52111412410
6234221213
752301646
oct20631611
98252260
104404105
112538962
121584809
13bb27a4
14828dcd
155bedc0
hex433389

4404105 has 64 divisors (see below), whose sum is σ = 8812800. Its totient is φ = 2073600.

The previous prime is 4404079. The next prime is 4404107. The reversal of 4404105 is 5014044.

4404105 is an admirable number.

It is not a de Polignac number, because 4404105 - 28 = 4403849 is a prime.

It is a super-2 number, since 2×44041052 = 38792281702050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4404107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43555 + ... + 43655.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 24404105 is an apocalyptic number.

4404105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4404105 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4404105 is a wasteful number, since it uses less digits than its factorization.

4404105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4404105 is about 2098.5959592070. The cubic root of 4404105 is about 163.9151975810.

Adding to 4404105 its reverse (5014044), we get a palindrome (9418149).

The spelling of 4404105 in words is "four million, four hundred four thousand, one hundred five".

Divisors: 1 3 5 9 15 17 19 27 45 51 57 85 95 101 135 153 171 255 285 303 323 459 505 513 765 855 909 969 1515 1615 1717 1919 2295 2565 2727 2907 4545 4845 5151 5757 8585 8721 9595 13635 14535 15453 17271 25755 28785 32623 43605 46359 51813 77265 86355 97869 163115 231795 259065 293607 489345 880821 1468035 4404105