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14445168 = 2431947337
BaseRepresentation
bin110111000110…
…101001110000
31000011220001020
4313012221300
512144221133
61233335440
7233532123
oct67065160
930156036
1014445168
118176961
124a07580
132cb9c4a
141cc03ba
1514050b3
hexdc6a70

14445168 has 80 divisors (see below), whose sum is σ = 40235520. Its totient is φ = 4451328.

The previous prime is 14445157. The next prime is 14445181. The reversal of 14445168 is 86154441.

14445168 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42696 + ... + 43032.

It is an arithmetic number, because the mean of its divisors is an integer number (502944).

Almost surely, 214445168 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 14445168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20117760).

14445168 is an abundant number, since it is smaller than the sum of its proper divisors (25790352).

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

14445168 is a wasteful number, since it uses less digits than its factorization.

14445168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 14445168 is about 3800.6799391688. The cubic root of 14445168 is about 243.5421855297.

The spelling of 14445168 in words is "fourteen million, four hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 188 228 282 304 337 376 456 564 674 752 893 912 1011 1128 1348 1786 2022 2256 2679 2696 3572 4044 5358 5392 6403 7144 8088 10716 12806 14288 15839 16176 19209 21432 25612 31678 38418 42864 47517 51224 63356 76836 95034 102448 126712 153672 190068 253424 300941 307344 380136 601882 760272 902823 1203764 1805646 2407528 3611292 4815056 7222584 14445168