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14455008 = 253253947
BaseRepresentation
bin110111001001…
…000011100000
31000012101112200
4313021003200
512200030013
61233453200
7233602611
oct67110340
930171480
1014455008
118183297
124a11200
132cc1579
141cc3c08
151407e73
hexdc90e0

14455008 has 72 divisors (see below), whose sum is σ = 41926248. Its totient is φ = 4722432.

The previous prime is 14454989. The next prime is 14455039. The reversal of 14455008 is 80055441.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14791 + ... + 15737.

It is an arithmetic number, because the mean of its divisors is an integer number (582309).

Almost surely, 214455008 is an apocalyptic number.

14455008 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 14455008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20963124).

14455008 is an abundant number, since it is smaller than the sum of its proper divisors (27471240).

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

14455008 is a wasteful number, since it uses less digits than its factorization.

14455008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 14455008 is about 3801.9742240052. The cubic root of 14455008 is about 243.5974730177.

The spelling of 14455008 in words is "fourteen million, four hundred fifty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 947 954 1272 1696 1894 1908 2544 2841 3788 3816 5088 5682 7576 7632 8523 11364 15152 15264 17046 22728 30304 34092 45456 50191 68184 90912 100382 136368 150573 200764 272736 301146 401528 451719 602292 803056 903438 1204584 1606112 1806876 2409168 3613752 4818336 7227504 14455008