Search a number
-
+
14441472 = 210321567
BaseRepresentation
bin110111000101…
…110000000000
31000011200222100
4313011300000
512144111342
61233310400
7233515263
oct67056000
930150870
1014441472
118174101
124a05400
132cb8366
141cbccda
151403e4c
hexdc5c00

14441472 has 66 divisors (see below), whose sum is σ = 41726048. Its totient is φ = 4810752.

The previous prime is 14441467. The next prime is 14441491. The reversal of 14441472 is 27414441.

It is a super-2 number, since 2×144414722 = 417112227053568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8433 + ... + 9999.

Almost surely, 214441472 is an apocalyptic number.

14441472 is a gapful number since it is divisible by the number (12) 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 14441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20863024).

14441472 is an abundant number, since it is smaller than the sum of its proper divisors (27284576).

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

14441472 is a wasteful number, since it uses less digits than its factorization.

14441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1572 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 14441472 is about 3800.1936792748. The cubic root of 14441472 is about 243.5214125233.

It can be divided in two parts, 1444 and 1472, that added together give a square (2916 = 542).

The spelling of 14441472 in words is "fourteen million, four hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1567 2304 3072 3134 4608 4701 6268 9216 9402 12536 14103 18804 25072 28206 37608 50144 56412 75216 100288 112824 150432 200576 225648 300864 401152 451296 601728 802304 902592 1203456 1604608 1805184 2406912 3610368 4813824 7220736 14441472