Search a number
-
+
444444408 = 23344714593
BaseRepresentation
bin11010011111011…
…010111011111000
31010222022010010000
4122133122323320
51402234210113
6112033553000
714004500202
oct3237327370
91128263100
10444444408
11208971731
12104a15760
1371103075
1443053772
1529042373
hex1a7daef8

444444408 has 80 divisors (see below), whose sum is σ = 1271429280. Its totient is φ = 144986112.

The previous prime is 444444391. The next prime is 444444421. The reversal of 444444408 is 804444444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 23160 + ... + 37752.

It is an arithmetic number, because the mean of its divisors is an integer number (15892866).

Almost surely, 2444444408 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 444444408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635714640).

444444408 is an abundant number, since it is smaller than the sum of its proper divisors (826984872).

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

444444408 is a wasteful number, since it uses less digits than its factorization.

444444408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14658 (or 14645 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

The square root of 444444408 is about 21081.8502034333. The cubic root of 444444408 is about 763.1428075097.

Adding to 444444408 its sum of digits (36), we get a palindrome (444444444).

The spelling of 444444408 in words is "four hundred forty-four million, four hundred forty-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 81 94 108 141 162 188 216 282 324 376 423 564 648 846 1128 1269 1692 2538 3384 3807 5076 7614 10152 14593 15228 29186 30456 43779 58372 87558 116744 131337 175116 262674 350232 394011 525348 685871 788022 1050696 1182033 1371742 1576044 2057613 2364066 2743484 3152088 4115226 4728132 5486968 6172839 8230452 9456264 12345678 16460904 18518517 24691356 37037034 49382712 55555551 74074068 111111102 148148136 222222204 444444408