Search a number
-
+
14249928 = 2337112701
BaseRepresentation
bin110110010110…
…111111001000
3222210222020010
4312112333020
512121444203
61225231520
7232056660
oct66267710
928728203
1014249928
118053200
1249325a0
132c4c114
141c6d1a0
1513b7303
hexd96fc8

14249928 has 96 divisors (see below), whose sum is σ = 44815680. Its totient is φ = 3696000.

The previous prime is 14249909. The next prime is 14249929. The reversal of 14249928 is 82994241.

It is not an unprimeable number, because it can be changed into a prime (14249929) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19978 + ... + 20678.

It is an arithmetic number, because the mean of its divisors is an integer number (466830).

Almost surely, 214249928 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 14249928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407840).

14249928 is an abundant number, since it is smaller than the sum of its proper divisors (30565752).

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

14249928 is a wasteful number, since it uses less digits than its factorization.

14249928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 724 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 14249928 is about 3774.9076809904. The cubic root of 14249928 is about 242.4399709707.

It can be divided in two parts, 14 and 249928, that added together give a palindrome (249942).

The spelling of 14249928 in words is "fourteen million, two hundred forty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 121 132 154 168 231 242 264 308 363 462 484 616 701 726 847 924 968 1402 1452 1694 1848 2103 2541 2804 2904 3388 4206 4907 5082 5608 6776 7711 8412 9814 10164 14721 15422 16824 19628 20328 23133 29442 30844 39256 46266 53977 58884 61688 84821 92532 107954 117768 161931 169642 185064 215908 254463 323862 339284 431816 508926 593747 647724 678568 1017852 1187494 1295448 1781241 2035704 2374988 3562482 4749976 7124964 14249928