Search a number
-
+
444337821 = 3212723061
BaseRepresentation
bin11010011111000…
…000111010011101
31010222002200220100
4122133000322131
51402222302241
6112031411313
714003544354
oct3237007235
91128080810
10444337821
112088a9644
12104983b39
13710966b5
144302699b
15290209b6
hex1a7c0e9d

444337821 has 18 divisors (see below), whose sum is σ = 647126142. Its totient is φ = 293796720.

The previous prime is 444337811. The next prime is 444337841. The reversal of 444337821 is 128733444.

It can be written as a sum of positive squares in only one way, i.e., 439112025 + 5225796 = 20955^2 + 2286^2 .

It is not a de Polignac number, because 444337821 - 27 = 444337693 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444337811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 143631 + ... + 146691.

Almost surely, 2444337821 is an apocalyptic number.

It is an amenable number.

444337821 is a deficient number, since it is larger than the sum of its proper divisors (202788321).

444337821 is a wasteful number, since it uses less digits than its factorization.

444337821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3321 (or 3191 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 444337821 is about 21079.3221190815. The cubic root of 444337821 is about 763.0817968004.

The spelling of 444337821 in words is "four hundred forty-four million, three hundred thirty-seven thousand, eight hundred twenty-one".

Divisors: 1 3 9 127 381 1143 3061 9183 16129 27549 48387 145161 388747 1166241 3498723 49370869 148112607 444337821