Search a number
-
+
442231412 = 227412271697
BaseRepresentation
bin11010010110111…
…110101001110100
31010211010200110012
4122112332221310
51401202401122
6111514315352
713646622260
oct3226765164
91124120405
10442231412
112076a0007
12104128b58
13708099bc
1442a390a0
1528c567e2
hex1a5bea74

442231412 has 48 divisors (see below), whose sum is σ = 910562688. Its totient is φ = 183982080.

The previous prime is 442231369. The next prime is 442231457. The reversal of 442231412 is 214132244.

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 15 ways as a sum of consecutive naturals, for example, 259748 + ... + 261444.

It is an arithmetic number, because the mean of its divisors is an integer number (18970056).

Almost surely, 2442231412 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 442231412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455281344).

442231412 is an abundant number, since it is smaller than the sum of its proper divisors (468331276).

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

442231412 is a wasteful number, since it uses less digits than its factorization.

442231412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1974 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 442231412 is about 21029.2988946375. The cubic root of 442231412 is about 761.8740753100.

Adding to 442231412 its reverse (214132244), we get a palindrome (656363656).

The spelling of 442231412 in words is "four hundred forty-two million, two hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 41 82 164 227 287 454 574 908 1148 1589 1697 3178 3394 6356 6788 9307 11879 18614 23758 37228 47516 65149 69577 130298 139154 260596 278308 385219 487039 770438 974078 1540876 1948156 2696533 5393066 10786132 15793979 31587958 63175916 110557853 221115706 442231412