Search a number
-
+
2438008875 = 3453389619
BaseRepresentation
bin1001000101010001…
…0001000000101011
320021220112200110000
42101110101000223
514443112241000
61041530554043
7114262506411
oct22124210053
96256480400
102438008875
111041213175
12580598923
132cb136103
14191b152b1
15e4083000
hex9151102b

2438008875 has 80 divisors (see below), whose sum is σ = 4564216800. Its totient is φ = 1294833600.

The previous prime is 2438008873. The next prime is 2438008891. The reversal of 2438008875 is 5788008342.

It is not a de Polignac number, because 2438008875 - 21 = 2438008873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2438008875.

It is not an unprimeable number, because it can be changed into a prime (2438008873) 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 79 ways as a sum of consecutive naturals, for example, 3938316 + ... + 3938934.

It is an arithmetic number, because the mean of its divisors is an integer number (57052710).

Almost surely, 22438008875 is an apocalyptic number.

2438008875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2438008875 is a deficient number, since it is larger than the sum of its proper divisors (2126207925).

2438008875 is an equidigital number, since it uses as much as digits as its factorization.

2438008875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 2438008875 is about 49376.1974538340. The cubic root of 2438008875 is about 1345.8968006016.

The spelling of 2438008875 in words is "two billion, four hundred thirty-eight million, eight thousand, eight hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 389 405 619 675 1125 1167 1857 1945 2025 3095 3375 3501 5571 5835 9285 9725 10125 10503 15475 16713 17505 27855 29175 31509 46425 48625 50139 52515 77375 83565 87525 139275 145875 157545 232125 240791 250695 262575 417825 437625 696375 722373 787725 1203955 1253475 1312875 2089125 2167119 3611865 3938625 6019775 6267375 6501357 10835595 18059325 19504071 30098875 32506785 54177975 90296625 97520355 162533925 270889875 487601775 812669625 2438008875