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14287008 = 253433461
BaseRepresentation
bin110110100000…
…000010100000
3222212212002110
4312200002200
512124141013
61230115320
7232303041
oct66400240
928785073
1014287008
11807904a
12494bb40
132c62c68
141c7c8c8
1513c32c3
hexda00a0

14287008 has 48 divisors (see below), whose sum is σ = 38386656. Its totient is φ = 4650240.

The previous prime is 14287003. The next prime is 14287037. The reversal of 14287008 is 80078241.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (14287003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2398 + ... + 5858.

It is an arithmetic number, because the mean of its divisors is an integer number (799722).

Almost surely, 214287008 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 14287008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19193328).

14287008 is an abundant number, since it is smaller than the sum of its proper divisors (24099648).

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

14287008 is a wasteful number, since it uses less digits than its factorization.

14287008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3517 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 14287008 is about 3779.8158685312. The cubic root of 14287008 is about 242.6500746750.

The spelling of 14287008 in words is "fourteen million, two hundred eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 3461 4128 6922 10383 13844 20766 27688 41532 55376 83064 110752 148823 166128 297646 332256 446469 595292 892938 1190584 1785876 2381168 3571752 4762336 7143504 14287008