Search a number
-
+
12382944 = 253718427
BaseRepresentation
bin101111001111…
…001011100000
3212022010012120
4233033023200
511132223234
61121224240
7210152610
oct57171340
925263176
1012382944
116a98542
124192080
1327473b2
141904a40
151149049
hexbcf2e0

12382944 has 48 divisors (see below), whose sum is σ = 37150848. Its totient is φ = 3537792.

The previous prime is 12382907. The next prime is 12383017. The reversal of 12382944 is 44928321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8542 + ... + 9885.

It is an arithmetic number, because the mean of its divisors is an integer number (773976).

Almost surely, 212382944 is an apocalyptic number.

12382944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12382944 is an abundant number, since it is smaller than the sum of its proper divisors (24767904).

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

12382944 is a wasteful number, since it uses less digits than its factorization.

12382944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18447 (or 18439 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 12382944 is about 3518.9407497143. The cubic root of 12382944 is about 231.3527340950.

The spelling of 12382944 in words is "twelve million, three hundred eighty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18427 36854 55281 73708 110562 128989 147416 221124 257978 294832 386967 442248 515956 589664 773934 884496 1031912 1547868 1768992 2063824 3095736 4127648 6191472 12382944