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4429834249 = 1923121132
BaseRepresentation
bin1000010000000100…
…11110100000001001
3102102201111220012011
410020002132200021
533033014143444
62011322415521
7214526653441
oct41002364011
912381456164
104429834249
111973587045
12a376615a1
135579aa6c9
14300483121
151add7d734
hex10809e809

4429834249 has 27 divisors (see below), whose sum is σ = 4874064039. Its totient is φ = 4025367360.

The previous prime is 4429834223. The next prime is 4429834267. The reversal of 4429834249 is 9424389244.

The square root of 4429834249 is 66557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 78057225 + 4351777024 = 8835^2 + 65968^2 .

It is not a de Polignac number, because 4429834249 - 217 = 4429703177 is a prime.

It is a super-2 number, since 2×44298342492 = 39246862947226788002, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4429834289) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39202017 + ... + 39202129.

Almost surely, 24429834249 is an apocalyptic number.

4429834249 is the 66557-th square number.

4429834249 is the 33279-th centered octagonal number.

It is an amenable number.

4429834249 is a deficient number, since it is larger than the sum of its proper divisors (444229790).

4429834249 is an equidigital number, since it uses as much as digits as its factorization.

4429834249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 49.

The cubic root of 4429834249 is about 1642.3378131322.

Multiplying 4429834249 by its sum of digits (49), we get a square (217061878201 = 4658992).

The spelling of 4429834249 in words is "four billion, four hundred twenty-nine million, eight hundred thirty-four thousand, two hundred forty-nine".

Divisors: 1 19 31 113 361 589 961 2147 3503 11191 12769 18259 40793 66557 108593 242611 346921 395839 1264583 2063267 4609609 7520941 12271009 39202073 142897879 233149171 4429834249