Search a number
-
+
12208482 = 23411131731
BaseRepresentation
bin101110100100…
…100101100010
3211222020220000
4232210211202
511111132412
61113400430
7205525146
oct56444542
924866800
1012208482
116989460
124109116
1326b5b70
14189b226
1511124dc
hexba4962

12208482 has 160 divisors (see below), whose sum is σ = 35126784. Its totient is φ = 3110400.

The previous prime is 12208459. The next prime is 12208489. The reversal of 12208482 is 28480221.

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

It is not an unprimeable number, because it can be changed into a prime (12208489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393807 + ... + 393837.

Almost surely, 212208482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12208482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17563392).

12208482 is an abundant number, since it is smaller than the sum of its proper divisors (22918302).

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

12208482 is a wasteful number, since it uses less digits than its factorization.

12208482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12208482 is about 3494.0638231149. The cubic root of 12208482 is about 230.2610897692.

The spelling of 12208482 in words is "twelve million, two hundred eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 27 31 33 34 39 51 54 62 66 78 81 93 99 102 117 143 153 162 186 187 198 221 234 279 286 297 306 341 351 374 403 429 442 459 527 558 561 594 663 682 702 806 837 858 891 918 1023 1053 1054 1122 1209 1287 1326 1377 1581 1674 1683 1782 1989 2046 2106 2418 2431 2511 2574 2754 3069 3162 3366 3627 3861 3978 4433 4743 4862 5022 5049 5797 5967 6138 6851 7254 7293 7722 8866 9207 9486 10098 10881 11583 11594 11934 13299 13702 14229 14586 15147 17391 17901 18414 20553 21762 21879 23166 26598 27621 28458 30294 32643 34782 35802 39897 41106 42687 43758 52173 55242 61659 65286 65637 75361 79794 85374 104346 119691 123318 131274 150722 156519 184977 196911 226083 239382 313038 359073 369954 393822 452166 469557 554931 678249 718146 939114 1109862 1356498 2034747 4069494 6104241 12208482