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12445056 = 273313277
BaseRepresentation
bin101111011110…
…010110000000
3212102021102000
4233132112000
511141220211
61122424000
7210531651
oct57362600
925367360
1012445056
117030178
124202000
132769750
14191d528
15115c656
hexbde580

12445056 has 128 divisors (see below), whose sum is σ = 39698400. Its totient is φ = 3815424.

The previous prime is 12445039. The next prime is 12445067. The reversal of 12445056 is 65054421.

12445056 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 tau number, because it is divible by the number of its divisors (128).

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

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, 44790 + ... + 45066.

Almost surely, 212445056 is an apocalyptic number.

12445056 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 12445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849200).

12445056 is an abundant number, since it is smaller than the sum of its proper divisors (27253344).

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

12445056 is a wasteful number, since it uses less digits than its factorization.

12445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 12445056 is about 3527.7550935404. The cubic root of 12445056 is about 231.7389056387.

Adding to 12445056 its reverse (65054421), we get a palindrome (77499477).

The spelling of 12445056 in words is "twelve million, four hundred forty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 277 288 312 351 384 416 432 468 554 576 624 702 831 832 864 936 1108 1152 1248 1404 1662 1664 1728 1872 2216 2493 2496 2808 3324 3456 3601 3744 4432 4986 4992 5616 6648 7202 7479 7488 8864 9972 10803 11232 13296 14404 14958 14976 17728 19944 21606 22464 26592 28808 29916 32409 35456 39888 43212 44928 53184 57616 59832 64818 79776 86424 97227 106368 115232 119664 129636 159552 172848 194454 230464 239328 259272 319104 345696 388908 460928 478656 518544 691392 777816 957312 1037088 1382784 1555632 2074176 3111264 4148352 6222528 12445056