Search a number
-
+
14359248 = 243343773
BaseRepresentation
bin110110110001…
…101011010000
31000000112012000
4312301223100
512133443443
61231434000
7233023461
oct66615320
930015160
1014359248
118118352
124985900
132c89ac7
141c9ad68
1513d98d3
hexdb1ad0

14359248 has 80 divisors (see below), whose sum is σ = 42229440. Its totient is φ = 4669056.

The previous prime is 14359229. The next prime is 14359283. The reversal of 14359248 is 84295341.

14359248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 18190 + ... + 18962.

It is an arithmetic number, because the mean of its divisors is an integer number (527868).

Almost surely, 214359248 is an apocalyptic number.

14359248 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 14359248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21114720).

14359248 is an abundant number, since it is smaller than the sum of its proper divisors (27870192).

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

14359248 is a wasteful number, since it uses less digits than its factorization.

14359248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 821 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 14359248 is about 3789.3598403952. The cubic root of 14359248 is about 243.0583612300.

The spelling of 14359248 in words is "fourteen million, three hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 773 774 1032 1161 1546 1548 2064 2319 2322 3092 3096 4638 4644 6184 6192 6957 9276 9288 12368 13914 18552 18576 20871 27828 33239 37104 41742 55656 66478 83484 99717 111312 132956 166968 199434 265912 299151 333936 398868 531824 598302 797736 897453 1196604 1595472 1794906 2393208 3589812 4786416 7179624 14359248