Search a number
-
+
14440008 = 2331183659
BaseRepresentation
bin110111000101…
…011001001000
31000011121222010
4313011121020
512144040013
61233255520
7233511102
oct67053110
930147863
1014440008
118172aa0
124a045a0
132cb77ab
141cbc572
1514037c3
hexdc5648

14440008 has 64 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 4316480.

The previous prime is 14440001. The next prime is 14440031. The reversal of 14440008 is 80004441.

It is not an unprimeable number, because it can be changed into a prime (14440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21583 + ... + 22241.

It is an arithmetic number, because the mean of its divisors is an integer number (623700).

Almost surely, 214440008 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 14440008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

14440008 is an abundant number, since it is smaller than the sum of its proper divisors (25476792).

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

14440008 is a wasteful number, since it uses less digits than its factorization.

14440008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 14440008 is about 3800.0010526314. The cubic root of 14440008 is about 243.5131832746.

Adding to 14440008 its reverse (80004441), we get a palindrome (94444449).

The spelling of 14440008 in words is "fourteen million, four hundred forty thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 83 88 132 166 249 264 332 498 659 664 913 996 1318 1826 1977 1992 2636 2739 3652 3954 5272 5478 7249 7304 7908 10956 14498 15816 21747 21912 28996 43494 54697 57992 86988 109394 164091 173976 218788 328182 437576 601667 656364 1203334 1312728 1805001 2406668 3610002 4813336 7220004 14440008