Search a number
-
+
12442032 = 243383347
BaseRepresentation
bin101111011101…
…100110110000
3212102010021000
4233131212300
511141121112
61122402000
7210520101
oct57354660
925363230
1012442032
117028979
124200300
132768265
14191c3a8
15115b7dc
hexbdd9b0

12442032 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 4085568.

The previous prime is 12442021. The next prime is 12442033. The reversal of 12442032 is 23024421.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12441996 and 12442014.

It is not an unprimeable number, because it can be changed into a prime (12442033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35683 + ... + 36029.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 212442032 is an apocalyptic number.

12442032 is a gapful number since it is divisible by the number (12) 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 12442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

12442032 is an abundant number, since it is smaller than the sum of its proper divisors (23805648).

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

12442032 is a wasteful number, since it uses less digits than its factorization.

12442032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12442032 is about 3527.3264663198. The cubic root of 12442032 is about 231.7201341893.

Adding to 12442032 its reverse (23024421), we get a palindrome (35466453).

The spelling of 12442032 in words is "twelve million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 347 432 498 664 694 747 996 1041 1328 1388 1494 1992 2082 2241 2776 2988 3123 3984 4164 4482 5552 5976 6246 8328 8964 9369 11952 12492 16656 17928 18738 24984 28801 35856 37476 49968 57602 74952 86403 115204 149904 172806 230408 259209 345612 460816 518418 691224 777627 1036836 1382448 1555254 2073672 3110508 4147344 6221016 12442032