Search a number
-
+
44430144 = 26311109193
BaseRepresentation
bin1010100101111…
…1001101000000
310002121021200220
42221133031000
542333231034
64224143040
71046435643
oct251371500
9102537626
1044430144
1123097030
1212a67a80
139288135
145c87a5a
153d79749
hex2a5f340

44430144 has 112 divisors (see below), whose sum is σ = 130088640. Its totient is φ = 13271040.

The previous prime is 44430119. The next prime is 44430157. The reversal of 44430144 is 44103444.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230112 + ... + 230304.

Almost surely, 244430144 is an apocalyptic number.

44430144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65044320).

44430144 is an abundant number, since it is smaller than the sum of its proper divisors (85658496).

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

44430144 is a wasteful number, since it uses less digits than its factorization.

44430144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 44430144 is about 6665.5940470449. The cubic root of 44430144 is about 354.1815277609.

Adding to 44430144 its reverse (44103444), we get a palindrome (88533588).

The spelling of 44430144 in words is "forty-four million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 109 132 176 192 193 218 264 327 352 386 436 528 579 654 704 772 872 1056 1158 1199 1308 1544 1744 2112 2123 2316 2398 2616 3088 3488 3597 4246 4632 4796 5232 6176 6369 6976 7194 8492 9264 9592 10464 12352 12738 14388 16984 18528 19184 20928 21037 25476 28776 33968 37056 38368 42074 50952 57552 63111 67936 76736 84148 101904 115104 126222 135872 168296 203808 230208 231407 252444 336592 407616 462814 504888 673184 694221 925628 1009776 1346368 1388442 1851256 2019552 2776884 3702512 4039104 5553768 7405024 11107536 14810048 22215072 44430144