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12481056 = 2532741151
BaseRepresentation
bin101111100111…
…001000100000
3212111002210100
4233213020200
511143343211
61123302400
7211041630
oct57471040
925432710
1012481056
117055225
12421aa00
13277cc53
14192c6c0
151168156
hexbe7220

12481056 has 144 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 3456000.

The previous prime is 12481039. The next prime is 12481057. The reversal of 12481056 is 65018421.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12481057) 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 23 ways as a sum of consecutive naturals, for example, 82581 + ... + 82731.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 212481056 is an apocalyptic number.

12481056 is a gapful number since it is divisible by the number (16) 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 12481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

12481056 is an abundant number, since it is smaller than the sum of its proper divisors (29346912).

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

12481056 is a wasteful number, since it uses less digits than its factorization.

12481056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12481056 is about 3532.8538039381. The cubic root of 12481056 is about 231.9621420589.

Adding to 12481056 its reverse (65018421), we get a palindrome (77499477).

It can be divided in two parts, 1248 and 1056, that added together give a square (2304 = 482).

The spelling of 12481056 in words is "twelve million, four hundred eighty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 72 82 84 96 112 123 126 144 151 164 168 224 246 252 287 288 302 328 336 369 453 492 504 574 604 656 672 738 861 906 984 1008 1057 1148 1208 1312 1359 1476 1722 1812 1968 2016 2114 2296 2416 2583 2718 2952 3171 3444 3624 3936 4228 4592 4832 5166 5436 5904 6191 6342 6888 7248 8456 9184 9513 10332 10872 11808 12382 12684 13776 14496 16912 18573 19026 20664 21744 24764 25368 27552 33824 37146 38052 41328 43337 43488 49528 50736 55719 74292 76104 82656 86674 99056 101472 111438 130011 148584 152208 173348 198112 222876 260022 297168 304416 346696 390033 445752 520044 594336 693392 780066 891504 1040088 1386784 1560132 1783008 2080176 3120264 4160352 6240528 12481056