Search a number
-
+
4244440212 = 22324111092593
BaseRepresentation
bin1111110011111101…
…0000010010010100
3101221210122220101100
43330333100102110
532143034041322
61541101030100
7210116101155
oct37477202224
911853586340
104244440212
11188896a831
129a5555330
135284685ac
142c39c392c
1519c95bdac
hexfcfd0494

4244440212 has 72 divisors (see below), whose sum is σ = 11004837480. Its totient is φ = 1378529280.

The previous prime is 4244440183. The next prime is 4244440223. The reversal of 4244440212 is 2120444424.

4244440212 is a `hidden beast` number, since 4 + 2 + 4 + 4 + 440 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 115863696 + 4128576516 = 10764^2 + 64254^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635588 + ... + 1638180.

It is an arithmetic number, because the mean of its divisors is an integer number (152844965).

Almost surely, 24244440212 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 4244440212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5502418740).

4244440212 is an abundant number, since it is smaller than the sum of its proper divisors (6760397268).

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

4244440212 is a wasteful number, since it uses less digits than its factorization.

4244440212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4244440212 is about 65149.3684696943. The cubic root of 4244440212 is about 1619.0992569257.

Adding to 4244440212 its reverse (2120444424), we get a palindrome (6364884636).

The spelling of 4244440212 in words is "four billion, two hundred forty-four million, four hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1109 1476 2218 2593 3327 4436 5186 6654 7779 9981 10372 13308 15558 19962 23337 31116 39924 45469 46674 90938 93348 106313 136407 181876 212626 272814 318939 409221 425252 545628 637878 818442 956817 1275756 1636884 1913634 2875637 3827268 5751274 8626911 11502548 17253822 25880733 34507644 51761466 103522932 117901117 235802234 353703351 471604468 707406702 1061110053 1414813404 2122220106 4244440212