Search a number
-
+
14289648 = 2434153137
BaseRepresentation
bin110110100000…
…101011110000
3222212222201020
4312200223300
512124232043
61230135440
7232313532
oct66405360
928788636
1014289648
11808002a
124951580
132c64219
141c7d852
1513c3e83
hexda0af0

14289648 has 80 divisors (see below), whose sum is σ = 38810016. Its totient is φ = 4526080.

The previous prime is 14289629. The next prime is 14289661. The reversal of 14289648 is 84698241.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104236 + ... + 104372.

Almost surely, 214289648 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 14289648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19405008).

14289648 is an abundant number, since it is smaller than the sum of its proper divisors (24520368).

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

14289648 is a wasteful number, since it uses less digits than its factorization.

14289648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 14289648 is about 3780.1650757606. The cubic root of 14289648 is about 242.6650196456.

The spelling of 14289648 in words is "fourteen million, two hundred eighty-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 53 82 106 123 137 159 164 212 246 274 318 328 411 424 492 548 636 656 822 848 984 1096 1272 1644 1968 2173 2192 2544 3288 4346 5617 6519 6576 7261 8692 11234 13038 14522 16851 17384 21783 22468 26076 29044 33702 34768 43566 44936 52152 58088 67404 87132 89872 104304 116176 134808 174264 269616 297701 348528 595402 893103 1190804 1786206 2381608 3572412 4763216 7144824 14289648