Search a number
-
+
14789328 = 243615051
BaseRepresentation
bin111000011010…
…101011010000
31000211101010220
4320122223100
512241224303
61244553040
7236464401
oct70325320
930741126
1014789328
118391494
124b52780
1330aa7a8
141d6d9a8
151472053
hexe1aad0

14789328 has 40 divisors (see below), whose sum is σ = 38839776. Its totient is φ = 4848000.

The previous prime is 14789323. The next prime is 14789339. The reversal of 14789328 is 82398741.

It is a self number, because there is not a number n which added to its sum of digits gives 14789328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14789323) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 403 + ... + 5453.

Almost surely, 214789328 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 14789328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19419888).

14789328 is an abundant number, since it is smaller than the sum of its proper divisors (24050448).

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

14789328 is a wasteful number, since it uses less digits than its factorization.

14789328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5123 (or 5117 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 14789328 is about 3845.6895350509. The cubic root of 14789328 is about 245.4611777233.

The spelling of 14789328 in words is "fourteen million, seven hundred eighty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 5051 10102 15153 20204 30306 40408 60612 80816 121224 242448 308111 616222 924333 1232444 1848666 2464888 3697332 4929776 7394664 14789328