Search a number
-
+
438630912 = 293295189
BaseRepresentation
bin11010001001001…
…111101000000000
31010120100202111100
4122021033220000
51344242142122
6111305214400
713604205216
oct3211175000
91116322440
10438630912
11205660995
12102a91400
136cb48c25
144237ccb6
1528794aac
hex1a24fa00

438630912 has 60 divisors (see below), whose sum is σ = 1265931810. Its totient is φ = 146208768.

The previous prime is 438630911. The next prime is 438630919. The reversal of 438630912 is 219036834.

438630912 is a `hidden beast` number, since 4 + 3 + 8 + 630 + 9 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 412252416 + 26378496 = 20304^2 + 5136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (438630911) 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 5 ways as a sum of consecutive naturals, for example, 42987 + ... + 52202.

Almost surely, 2438630912 is an apocalyptic number.

It is an amenable number.

438630912 is an abundant number, since it is smaller than the sum of its proper divisors (827300898).

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

438630912 is an equidigital number, since it uses as much as digits as its factorization.

438630912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95213 (or 95194 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 438630912 is about 20943.5171831285. The cubic root of 438630912 is about 759.8007972839.

The spelling of 438630912 in words is "four hundred thirty-eight million, six hundred thirty thousand, nine hundred twelve".

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 1152 1536 2304 4608 95189 190378 285567 380756 571134 761512 856701 1142268 1523024 1713402 2284536 3046048 3426804 4569072 6092096 6853608 9138144 12184192 13707216 18276288 24368384 27414432 36552576 48736768 54828864 73105152 109657728 146210304 219315456 438630912