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14441856 = 2731113263
BaseRepresentation
bin110111000101…
…110110000000
31000011201111120
4313011312000
512144114411
61233312240
7233516352
oct67056600
930151446
1014441856
118174420
124a05680
132cb85a0
141cbd0d2
151404106
hexdc5d80

14441856 has 128 divisors (see below), whose sum is σ = 45239040. Its totient is φ = 4024320.

The previous prime is 14441839. The next prime is 14441863. The reversal of 14441856 is 65814441.

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 (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 54781 + ... + 55043.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 214441856 is an apocalyptic number.

14441856 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 14441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619520).

14441856 is an abundant number, since it is smaller than the sum of its proper divisors (30797184).

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

14441856 is a wasteful number, since it uses less digits than its factorization.

14441856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 14441856 is about 3800.2442026796. The cubic root of 14441856 is about 243.5235709227.

The spelling of 14441856 in words is "fourteen million, four hundred forty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 263 264 286 312 352 384 416 429 526 528 572 624 704 789 832 858 1052 1056 1144 1248 1408 1578 1664 1716 2104 2112 2288 2496 2893 3156 3419 3432 4208 4224 4576 4992 5786 6312 6838 6864 8416 8679 9152 10257 11572 12624 13676 13728 16832 17358 18304 20514 23144 25248 27352 27456 33664 34716 37609 41028 46288 50496 54704 54912 69432 75218 82056 92576 100992 109408 112827 138864 150436 164112 185152 218816 225654 277728 300872 328224 370304 437632 451308 555456 601744 656448 902616 1110912 1203488 1312896 1805232 2406976 3610464 4813952 7220928 14441856