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14829282 = 23213127499
BaseRepresentation
bin111000100100…
…011011100010
31000220101221200
4320210123202
512244014112
61245502030
7240022026
oct70443342
930811850
1014829282
118409506
124b71916
1330c2a30
141d80386
15147dcdc
hexe246e2

14829282 has 48 divisors (see below), whose sum is σ = 34944000. Its totient is φ = 4517856.

The previous prime is 14829271. The next prime is 14829289. The reversal of 14829282 is 28292841.

It is not an unprimeable number, because it can be changed into a prime (14829289) 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 23 ways as a sum of consecutive naturals, for example, 29469 + ... + 29967.

It is an arithmetic number, because the mean of its divisors is an integer number (728000).

Almost surely, 214829282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14829282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472000).

14829282 is an abundant number, since it is smaller than the sum of its proper divisors (20114718).

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

14829282 is a wasteful number, since it uses less digits than its factorization.

14829282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 644 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 14829282 is about 3850.8806784942. The cubic root of 14829282 is about 245.6820202489.

The spelling of 14829282 in words is "fourteen million, eight hundred twenty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 499 762 998 1143 1497 1651 2286 2994 3302 4491 4953 6487 8982 9906 12974 14859 19461 29718 38922 58383 63373 116766 126746 190119 380238 570357 823849 1140714 1647698 2471547 4943094 7414641 14829282