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14118048 = 2532747149
BaseRepresentation
bin110101110110…
…110010100000
3222120021022200
4311312302200
512103234143
61222333200
7231000330
oct65666240
928507280
1014118048
117a7310a
12488a200
132c04099
141c370c0
15138d1d3
hexd76ca0

14118048 has 144 divisors (see below), whose sum is σ = 47174400. Its totient is φ = 3921408.

The previous prime is 14118043. The next prime is 14118073. The reversal of 14118048 is 84081141.

14118048 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14118043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94678 + ... + 94826.

It is an arithmetic number, because the mean of its divisors is an integer number (327600).

Almost surely, 214118048 is an apocalyptic number.

14118048 is a gapful number since it is divisible by the number (18) 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 14118048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200).

14118048 is an abundant number, since it is smaller than the sum of its proper divisors (33056352).

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

14118048 is a wasteful number, since it uses less digits than its factorization.

14118048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14118048 is about 3757.3991004417. The cubic root of 14118048 is about 241.6897419636.

Adding to 14118048 its reverse (84081141), we get a palindrome (98199189).

The spelling of 14118048 in words is "fourteen million, one hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 63 72 84 94 96 112 126 141 144 149 168 188 224 252 282 288 298 329 336 376 423 447 504 564 596 658 672 752 846 894 987 1008 1043 1128 1192 1316 1341 1504 1692 1788 1974 2016 2086 2256 2384 2632 2682 2961 3129 3384 3576 3948 4172 4512 4768 5264 5364 5922 6258 6768 7003 7152 7896 8344 9387 10528 10728 11844 12516 13536 14006 14304 15792 16688 18774 21009 21456 23688 25032 28012 31584 33376 37548 42018 42912 47376 49021 50064 56024 63027 75096 84036 94752 98042 100128 112048 126054 147063 150192 168072 196084 224096 252108 294126 300384 336144 392168 441189 504216 588252 672288 784336 882378 1008432 1176504 1568672 1764756 2016864 2353008 3529512 4706016 7059024 14118048