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14443456 = 261271777
BaseRepresentation
bin110111000110…
…001111000000
31000011210200211
4313012033000
512144142311
61233323504
7233524126
oct67061700
930153624
1014443456
118175645
124a06594
132cb9231
141cbd916
151404821
hexdc63c0

14443456 has 28 divisors (see below), whose sum is σ = 28903168. Its totient is φ = 7160832.

The previous prime is 14443453. The next prime is 14443463. The reversal of 14443456 is 65434441.

14443456 is an admirable number.

It is a super-2 number, since 2×144434562 = 417226842447872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14443453) 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 3 ways as a sum of consecutive naturals, for example, 7240 + ... + 9016.

It is an arithmetic number, because the mean of its divisors is an integer number (1032256).

Almost surely, 214443456 is an apocalyptic number.

14443456 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 14443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451584).

14443456 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

14443456 is a wasteful number, since it uses less digits than its factorization.

14443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its digits is 23040, while the sum is 31.

The square root of 14443456 is about 3800.4547096367. The cubic root of 14443456 is about 243.5325638418.

Adding to 14443456 its reverse (65434441), we get a palindrome (79877897).

It can be divided in two parts, 1444 and 3456, that added together give a square (4900 = 702).

The spelling of 14443456 in words is "fourteen million, four hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 1777 2032 3554 4064 7108 8128 14216 28432 56864 113728 225679 451358 902716 1805432 3610864 7221728 14443456