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14286888 = 2333711859
BaseRepresentation
bin110110100000…
…000000101000
3222212211221000
4312200000220
512124140023
61230115000
7232302510
oct66400050
928784830
1014286888
118078a50
12494ba60
132c62ba5
141c7c840
1513c3243
hexda0028

14286888 has 128 divisors (see below), whose sum is σ = 49536000. Its totient is φ = 3706560.

The previous prime is 14286863. The next prime is 14286907. The reversal of 14286888 is 88868241.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16203 + ... + 17061.

It is an arithmetic number, because the mean of its divisors is an integer number (387000).

Almost surely, 214286888 is an apocalyptic number.

14286888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14286888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24768000).

14286888 is an abundant number, since it is smaller than the sum of its proper divisors (35249112).

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

14286888 is a wasteful number, since it uses less digits than its factorization.

14286888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The square root of 14286888 is about 3779.7999947087. The cubic root of 14286888 is about 242.6493953144.

The spelling of 14286888 in words is "fourteen million, two hundred eighty-six thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 859 924 1188 1386 1512 1718 1848 2079 2376 2577 2772 3436 4158 5154 5544 6013 6872 7731 8316 9449 10308 12026 15462 16632 18039 18898 20616 23193 24052 28347 30924 36078 37796 46386 48104 54117 56694 61848 66143 72156 75592 85041 92772 108234 113388 132286 144312 162351 170082 185544 198429 216468 226776 255123 264572 324702 340164 396858 432936 510246 529144 595287 649404 680328 793716 1020492 1190574 1298808 1587432 1785861 2040984 2381148 3571722 4762296 7143444 14286888