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14439216 = 24311232941
BaseRepresentation
bin110111000101…
…001100110000
31000011120212210
4313011030300
512144023331
61233252120
7233505561
oct67051460
930146783
1014439216
118172440
124a04040
132cb731c
141cbc168
151403446
hexdc5330

14439216 has 160 divisors (see below), whose sum is σ = 44997120. Its totient is φ = 3942400.

The previous prime is 14439209. The next prime is 14439223. The reversal of 14439216 is 61293441.

It is an interprime number because it is at equal distance from previous prime (14439209) and next prime (14439223).

It is a nialpdrome in base 16.

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 31 ways as a sum of consecutive naturals, for example, 352156 + ... + 352196.

It is an arithmetic number, because the mean of its divisors is an integer number (281232).

Almost surely, 214439216 is an apocalyptic number.

14439216 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 14439216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22498560).

14439216 is an abundant number, since it is smaller than the sum of its proper divisors (30557904).

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

14439216 is a wasteful number, since it uses less digits than its factorization.

14439216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 14439216 is about 3799.8968407050. The cubic root of 14439216 is about 243.5087311541.

The spelling of 14439216 in words is "fourteen million, four hundred thirty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 29 33 41 44 46 48 58 66 69 82 87 88 92 116 123 132 138 164 174 176 184 232 246 253 264 276 319 328 348 368 451 464 492 506 528 552 638 656 667 696 759 902 943 957 984 1012 1104 1189 1276 1334 1353 1392 1518 1804 1886 1914 1968 2001 2024 2378 2552 2668 2706 2829 3036 3567 3608 3772 3828 4002 4048 4756 5104 5336 5412 5658 6072 7134 7216 7337 7544 7656 8004 9512 10373 10672 10824 11316 12144 13079 14268 14674 15088 15312 16008 19024 20746 21648 22011 22632 26158 27347 28536 29348 31119 32016 39237 41492 44022 45264 52316 54694 57072 58696 62238 78474 82041 82984 88044 104632 109388 117392 124476 156948 164082 165968 176088 209264 218776 248952 300817 313896 328164 352176 437552 497904 601634 627792 656328 902451 1203268 1312656 1804902 2406536 3609804 4813072 7219608 14439216