Search a number
-
+
12411444 = 22323193233
BaseRepresentation
bin101111010110…
…001000110100
3212100120022010
4233112020310
511134131234
61122004220
7210331653
oct57261064
925316263
1012411444
1170079a1
1241a6670
132757366
14191119a
1511526e9
hexbd6234

12411444 has 48 divisors (see below), whose sum is σ = 30506112. Its totient is φ = 3919872.

The previous prime is 12411437. The next prime is 12411457. The reversal of 12411444 is 44411421.

12411444 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12411444.

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, 53152 + ... + 53384.

It is an arithmetic number, because the mean of its divisors is an integer number (635544).

Almost surely, 212411444 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 12411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15253056).

12411444 is an abundant number, since it is smaller than the sum of its proper divisors (18094668).

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

12411444 is a wasteful number, since it uses less digits than its factorization.

12411444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 454 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 12411444 is about 3522.9879363972. The cubic root of 12411444 is about 231.5300882823.

Adding to 12411444 its reverse (44411421), we get a palindrome (56822865).

The spelling of 12411444 in words is "twelve million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 193 233 276 386 466 579 699 772 932 1158 1398 2316 2796 4439 5359 8878 10718 13317 16077 17756 21436 26634 32154 44969 53268 64308 89938 134907 179876 269814 539628 1034287 2068574 3102861 4137148 6205722 12411444