Search a number
-
+
14289288 = 233133271
BaseRepresentation
bin110110100000…
…100110001000
3222212222012220
4312200212020
512124224123
61230134040
7232312506
oct66404610
928788186
1014289288
11807a832
124951320
132c64000
141c7d676
1513c3ce3
hexda0988

14289288 has 64 divisors (see below), whose sum is σ = 38841600. Its totient is φ = 4380480.

The previous prime is 14289271. The next prime is 14289307. The reversal of 14289288 is 88298241.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52593 + ... + 52863.

It is an arithmetic number, because the mean of its divisors is an integer number (606900).

Almost surely, 214289288 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 14289288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19420800).

14289288 is an abundant number, since it is smaller than the sum of its proper divisors (24552312).

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

14289288 is a wasteful number, since it uses less digits than its factorization.

14289288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 289 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 14289288 is about 3780.1174584925. The cubic root of 14289288 is about 242.6629818035.

The spelling of 14289288 in words is "fourteen million, two hundred eighty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 271 312 338 507 542 676 813 1014 1084 1352 1626 2028 2168 2197 3252 3523 4056 4394 6504 6591 7046 8788 10569 13182 14092 17576 21138 26364 28184 42276 45799 52728 84552 91598 137397 183196 274794 366392 549588 595387 1099176 1190774 1786161 2381548 3572322 4763096 7144644 14289288