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14144448 = 263233203
BaseRepresentation
bin110101111101…
…001111000000
3222121121112110
4311331033000
512110110243
61223055320
7231140313
oct65751700
928547473
1014144448
117a90a2a
1248a1540
132c130c6
141c4297a
151395e33
hexd7d3c0

14144448 has 56 divisors (see below), whose sum is σ = 39063168. Its totient is φ = 4508416.

The previous prime is 14144423. The next prime is 14144477. The reversal of 14144448 is 84444141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2815 + ... + 6017.

Almost surely, 214144448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14144448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19531584).

14144448 is an abundant number, since it is smaller than the sum of its proper divisors (24918720).

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

14144448 is a wasteful number, since it uses less digits than its factorization.

14144448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3231 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 14144448 is about 3760.9105280504. The cubic root of 14144448 is about 241.8402971532.

Adding to 14144448 its reverse (84444141), we get a palindrome (98588589).

The spelling of 14144448 in words is "fourteen million, one hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 3203 4416 6406 9609 12812 19218 25624 38436 51248 73669 76872 102496 147338 153744 204992 221007 294676 307488 442014 589352 614976 884028 1178704 1768056 2357408 3536112 4714816 7072224 14144448