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12442248 = 2334713211
BaseRepresentation
bin101111011101…
…101010001000
3212102010120000
4233131222020
511141122443
61122403000
7210520530
oct57355210
925363500
1012442248
117029055
124200460
1327683a0
14191c4c0
15115b8d3
hexbdda88

12442248 has 160 divisors (see below), whose sum is σ = 43095360. Its totient is φ = 3265920.

The previous prime is 12442237. The next prime is 12442259. The reversal of 12442248 is 84224421.

It is an interprime number because it is at equal distance from previous prime (12442237) and next prime (12442259).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 58863 + ... + 59073.

It is an arithmetic number, because the mean of its divisors is an integer number (269346).

Almost surely, 212442248 is an apocalyptic number.

12442248 is a gapful number since it is divisible by the number (18) 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 12442248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21547680).

12442248 is an abundant number, since it is smaller than the sum of its proper divisors (30653112).

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

12442248 is a wasteful number, since it uses less digits than its factorization.

12442248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 236 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 12442248 is about 3527.3570842771. The cubic root of 12442248 is about 231.7214751079.

Adding to 12442248 its reverse (84224421), we get a palindrome (96666669).

The spelling of 12442248 in words is "twelve million, four hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 211 216 234 252 273 312 324 351 364 378 422 468 504 546 567 633 648 702 728 756 819 844 936 1053 1092 1134 1266 1404 1477 1512 1638 1688 1899 2106 2184 2268 2457 2532 2743 2808 2954 3276 3798 4212 4431 4536 4914 5064 5486 5697 5908 6552 7371 7596 8229 8424 8862 9828 10972 11394 11816 13293 14742 15192 16458 17091 17724 19201 19656 21944 22788 24687 26586 29484 32916 34182 35448 38402 39879 45576 49374 53172 57603 58968 65832 68364 74061 76804 79758 98748 106344 115206 119637 136728 148122 153608 159516 172809 197496 222183 230412 239274 296244 319032 345618 444366 460824 478548 518427 592488 691236 888732 957096 1036854 1382472 1555281 1777464 2073708 3110562 4147416 6221124 12442248