Search a number
-
+
2989732032 = 2635729947
BaseRepresentation
bin1011001000110011…
…1011000011000000
321201100201010100000
42302030323003000
522110332411112
61212400200000
7134042205630
oct26214730300
97640633300
102989732032
1112a4697a21
126b5309000
1338852aa11
142050d26c0
151277167dc
hexb233b0c0

2989732032 has 336 divisors, whose sum is σ = 10517794560. Its totient is φ = 823882752.

The previous prime is 2989732001. The next prime is 2989732037. The reversal of 2989732032 is 2302379892.

2989732032 is a `hidden beast` number, since 298 + 9 + 7 + 320 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2989732037) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3156583 + ... + 3157529.

It is an arithmetic number, because the mean of its divisors is an integer number (31302960).

Almost surely, 22989732032 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 2989732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258897280).

2989732032 is an abundant number, since it is smaller than the sum of its proper divisors (7528062528).

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

2989732032 is an equidigital number, since it uses as much as digits as its factorization.

2989732032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2989732032 is about 54678.4421138715. The cubic root of 2989732032 is about 1440.6022480880.

The spelling of 2989732032 in words is "two billion, nine hundred eighty-nine million, seven hundred thirty-two thousand, thirty-two".