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14516768 = 257229283
BaseRepresentation
bin110111011000…
…001000100000
31000022112021002
4313120020200
512204014033
61235051132
7234250640
oct67301040
930275232
1014516768
118215732
124a40aa8
133013706
141cdc520
15141b3e8
hexdd8220

14516768 has 48 divisors (see below), whose sum is σ = 32921280. Its totient is φ = 6172416.

The previous prime is 14516767. The next prime is 14516813. The reversal of 14516768 is 86761541.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14516767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51155 + ... + 51437.

It is an arithmetic number, because the mean of its divisors is an integer number (685860).

Almost surely, 214516768 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 14516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460640).

14516768 is an abundant number, since it is smaller than the sum of its proper divisors (18404512).

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

14516768 is a wasteful number, since it uses less digits than its factorization.

14516768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its digits is 40320, while the sum is 38.

The square root of 14516768 is about 3810.0876630335. The cubic root of 14516768 is about 243.9439089915.

The spelling of 14516768 in words is "fourteen million, five hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 229 283 458 566 916 1132 1603 1832 1981 2264 3206 3664 3962 4528 6412 7328 7924 9056 12824 15848 25648 31696 51296 63392 64807 129614 259228 453649 518456 907298 1036912 1814596 2073824 3629192 7258384 14516768