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14728648 = 23111923383
BaseRepresentation
bin111000001011…
…110111001000
31000201021220111
4320023313020
512232304043
61243404104
7236122444
oct70136710
930637814
1014728648
11834a940
124b23634
133088c9c
141d55824
15145e09d
hexe0bdc8

14728648 has 64 divisors (see below), whose sum is σ = 33177600. Its totient is φ = 6050880.

The previous prime is 14728639. The next prime is 14728663. The reversal of 14728648 is 84682741.

14728648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 14728648.

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, 38265 + ... + 38647.

It is an arithmetic number, because the mean of its divisors is an integer number (518400).

It is a vampire number, since it can be written as 17488426 (with its own digits).

Almost surely, 214728648 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 14728648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16588800).

14728648 is an abundant number, since it is smaller than the sum of its proper divisors (18448952).

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

14728648 is a wasteful number, since it uses less digits than its factorization.

14728648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 14728648 is about 3837.7920735756. The cubic root of 14728648 is about 245.1250118645.

It can be divided in two parts, 14728 and 648, that added together give a square (15376 = 1242).

The spelling of 14728648 in words is "fourteen million, seven hundred twenty-eight thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 19 22 23 38 44 46 76 88 92 152 184 209 253 383 418 437 506 766 836 874 1012 1532 1672 1748 2024 3064 3496 4213 4807 7277 8426 8809 9614 14554 16852 17618 19228 29108 33704 35236 38456 58216 70472 80047 96899 160094 167371 193798 320188 334742 387596 640376 669484 775192 1338968 1841081 3682162 7364324 14728648