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14441688 = 2332200579
BaseRepresentation
bin110111000101…
…110011011000
31000011201021100
4313011303120
512144113223
61233311400
7233516022
oct67056330
930151240
1014441688
118174288
124a05560
132cb84a1
141cbd012
151404043
hexdc5cd8

14441688 has 24 divisors (see below), whose sum is σ = 39113100. Its totient is φ = 4813872.

The previous prime is 14441641. The next prime is 14441699. The reversal of 14441688 is 88614441.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100218 + ... + 100361.

Almost surely, 214441688 is an apocalyptic number.

14441688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14441688 is an abundant number, since it is smaller than the sum of its proper divisors (24671412).

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

14441688 is a wasteful number, since it uses less digits than its factorization.

14441688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200591 (or 200584 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14441688 is about 3800.2220987726. Note that the first 3 decimals coincide. The cubic root of 14441688 is about 243.5226266277.

It can be divided in two parts, 14441 and 688, that added together give a square (15129 = 1232).

The spelling of 14441688 in words is "fourteen million, four hundred forty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 200579 401158 601737 802316 1203474 1604632 1805211 2406948 3610422 4813896 7220844 14441688