Search a number
-
+
14768856 = 2332415003
BaseRepresentation
bin111000010101…
…101011011000
31000210100001200
4320111223120
512240100411
61244314200
7236350614
oct70255330
930710050
1014768856
118378073
124b42960
1330a138b
141d66344
15146ae56
hexe15ad8

14768856 has 48 divisors (see below), whose sum is σ = 40982760. Its totient is φ = 4801920.

The previous prime is 14768851. The next prime is 14768879. The reversal of 14768856 is 65886741.

It is a happy number.

14768856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14768851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 451 + ... + 5453.

Almost surely, 214768856 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 14768856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20491380).

14768856 is an abundant number, since it is smaller than the sum of its proper divisors (26213904).

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

14768856 is a wasteful number, since it uses less digits than its factorization.

14768856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056 (or 5049 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 14768856 is about 3843.0269319899. The cubic root of 14768856 is about 245.3478662495.

The spelling of 14768856 in words is "fourteen million, seven hundred sixty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 5003 10006 15009 20012 30018 40024 45027 60036 90054 120072 180108 205123 360216 410246 615369 820492 1230738 1640984 1846107 2461476 3692214 4922952 7384428 14768856