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14291838 = 232111929131
BaseRepresentation
bin110110100001…
…001101111110
3222220002201100
4312201031332
512124314323
61230153530
7232323111
oct66411576
928802640
1014291838
118081740
1249528a6
132c65212
141c80578
1513c4943
hexda137e

14291838 has 96 divisors (see below), whose sum is σ = 37065600. Its totient is φ = 3931200.

The previous prime is 14291831. The next prime is 14291839. The reversal of 14291838 is 83819241.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14291831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109033 + ... + 109163.

It is an arithmetic number, because the mean of its divisors is an integer number (386100).

Almost surely, 214291838 is an apocalyptic number.

14291838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14291838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532800).

14291838 is an abundant number, since it is smaller than the sum of its proper divisors (22773762).

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

14291838 is a wasteful number, since it uses less digits than its factorization.

14291838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 195 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 14291838 is about 3780.4547345524. The cubic root of 14291838 is about 242.6774157813.

It can be divided in two parts, 14291 and 838, that added together give a square (15129 = 1232).

The spelling of 14291838 in words is "fourteen million, two hundred ninety-one thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 19 22 29 33 38 57 58 66 87 99 114 131 171 174 198 209 261 262 319 342 393 418 522 551 627 638 786 957 1102 1179 1254 1441 1653 1881 1914 2358 2489 2871 2882 3306 3762 3799 4323 4959 4978 5742 6061 7467 7598 8646 9918 11397 12122 12969 14934 18183 22401 22794 25938 27379 34191 36366 41789 44802 54549 54758 68382 72181 82137 83578 109098 125367 144362 164274 216543 246411 250734 376101 433086 492822 649629 752202 793991 1299258 1587982 2381973 4763946 7145919 14291838