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14444416 = 277447
BaseRepresentation
bin110111000110…
…011110000000
31000011212000101
4313012132000
512144210131
61233332144
7233530000
oct67063600
930155011
1014444416
118176338
124a07054
132cb97bc
141cc0000
151404c61
hexdc6780

14444416 has 80 divisors (see below), whose sum is σ = 34284240. Its totient is φ = 6058752.

The previous prime is 14444413. The next prime is 14444429. The reversal of 14444416 is 61444441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14444413) 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 9 ways as a sum of consecutive naturals, for example, 307305 + ... + 307351.

It is an arithmetic number, because the mean of its divisors is an integer number (428553).

Almost surely, 214444416 is an apocalyptic number.

14444416 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 14444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142120).

14444416 is an abundant number, since it is smaller than the sum of its proper divisors (19839824).

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

14444416 is an frugal number, since it uses more digits than its factorization.

14444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 56 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 14444416 is about 3800.5810082144. The cubic root of 14444416 is about 243.5379592744.

Adding to 14444416 its reverse (61444441), we get a palindrome (75888857).

The spelling of 14444416 in words is "fourteen million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 112 128 188 196 224 329 343 376 392 448 658 686 752 784 896 1316 1372 1504 1568 2303 2401 2632 2744 3008 3136 4606 4802 5264 5488 6016 6272 9212 9604 10528 10976 16121 18424 19208 21056 21952 32242 36848 38416 42112 43904 64484 73696 76832 112847 128968 147392 153664 225694 257936 294784 307328 451388 515872 902776 1031744 1805552 2063488 3611104 7222208 14444416