Search a number
-
+
4440243204 = 2233101461883
BaseRepresentation
bin1000010001010100…
…01011110000000100
3102110110002201121000
410020222023300010
533043200240304
62012333453300
7215014305315
oct41052136004
912413081530
104440243204
111979446491
12a3b041230
13559bb3457
143019d260c
151aec37939
hex108a8bc04

4440243204 has 96 divisors (see below), whose sum is σ = 11664132480. Its totient is φ = 1460592000.

The previous prime is 4440243187. The next prime is 4440243239. The reversal of 4440243204 is 4023420444.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5028147 + ... + 5029029.

It is an arithmetic number, because the mean of its divisors is an integer number (121501380).

Almost surely, 24440243204 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 4440243204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832066240).

4440243204 is an abundant number, since it is smaller than the sum of its proper divisors (7223889276).

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

4440243204 is a wasteful number, since it uses less digits than its factorization.

4440243204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 4440243204 is about 66635.1499135404. The cubic root of 4440243204 is about 1643.6231620693.

Adding to 4440243204 its reverse (4023420444), we get a palindrome (8463663648).

The spelling of 4440243204 in words is "four billion, four hundred forty million, two hundred forty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 461 606 883 909 922 1212 1383 1766 1818 1844 2649 2727 2766 3532 3636 4149 5298 5454 5532 7947 8298 10596 10908 12447 15894 16596 23841 24894 31788 46561 47682 49788 89183 93122 95364 139683 178366 186244 267549 279366 356732 407063 419049 535098 558732 802647 814126 838098 1070196 1221189 1257147 1605294 1628252 1676196 2407941 2442378 2514294 3210588 3663567 4815882 4884756 5028588 7327134 9631764 10990701 14654268 21981402 41113363 43962804 82226726 123340089 164453452 246680178 370020267 493360356 740040534 1110060801 1480081068 2220121602 4440243204