Search a number
-
+
442038744 = 233278310567
BaseRepresentation
bin11010010110001…
…111100111011000
31010210202220011100
4122112033213120
51401130214434
6111510231400
713645160460
oct3226174730
91123686140
10442038744
11207579284
12104055560
13707700b4
14429c8ba0
1528c19699
hex1a58f9d8

442038744 has 96 divisors (see below), whose sum is σ = 1384830720. Its totient is φ = 124763328.

The previous prime is 442038719. The next prime is 442038761. The reversal of 442038744 is 447830244.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 442038699 and 442038708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36549 + ... + 47115.

It is an arithmetic number, because the mean of its divisors is an integer number (14425320).

Almost surely, 2442038744 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 442038744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692415360).

442038744 is an abundant number, since it is smaller than the sum of its proper divisors (942791976).

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

442038744 is a wasteful number, since it uses less digits than its factorization.

442038744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10669 (or 10662 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 442038744 is about 21024.7174535117. The cubic root of 442038744 is about 761.7634167477.

Adding to 442038744 its reverse (447830244), we get a palindrome (889868988).

The spelling of 442038744 in words is "four hundred forty-two million, thirty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 10567 13944 20916 21134 31701 41832 42268 63402 73969 84536 95103 126804 147938 190206 221907 253608 295876 380412 443814 591752 665721 760824 877061 887628 1331442 1754122 1775256 2631183 2662884 3508244 5262366 5325768 6139427 7016488 7893549 10524732 12278854 15787098 18418281 21049464 24557708 31574196 36836562 49115416 55254843 63148392 73673124 110509686 147346248 221019372 442038744