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14438008 = 2313259181
BaseRepresentation
bin110111000100…
…111001111000
31000011112020001
4313010321320
512144004013
61233242344
7233502214
oct67047170
930145201
1014438008
118171542
124a033b4
132cb6900
141cbb944
151402ddd
hexdc4e78

14438008 has 48 divisors (see below), whose sum is σ = 29975400. Its totient is φ = 6514560.

The previous prime is 14437991. The next prime is 14438009. The reversal of 14438008 is 80083441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14438009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 79678 + ... + 79858.

Almost surely, 214438008 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 14438008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14987700).

14438008 is an abundant number, since it is smaller than the sum of its proper divisors (15537392).

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

14438008 is a wasteful number, since it uses less digits than its factorization.

14438008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 14438008 is about 3799.7378856969. The cubic root of 14438008 is about 243.5019402325.

The spelling of 14438008 in words is "fourteen million, four hundred thirty-eight thousand, eight".

Divisors: 1 2 4 8 13 26 52 59 104 118 169 181 236 338 362 472 676 724 767 1352 1448 1534 2353 3068 4706 6136 9412 9971 10679 18824 19942 21358 30589 39884 42716 61178 79768 85432 122356 138827 244712 277654 555308 1110616 1804751 3609502 7219004 14438008