Search a number
-
+
8182468849 = 1743132
BaseRepresentation
bin1111001111011011…
…01001000011110001
3210010020202111002211
413213231221003301
5113224203000344
63431534412121
7406524560212
oct74755510361
923106674084
108182468849
113519876a55
121704361041
13a0529c959
14578a05409
1532d540334
hex1e7b690f1

8182468849 has 15 divisors (see below), whose sum is σ = 8721731703. Its totient is φ = 7676542848.

The previous prime is 8182468837. The next prime is 8182468913. The reversal of 8182468849 is 9488642818.

The square root of 8182468849 is 90457.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5020431025 + 3162037824 = 70855^2 + 56232^2 .

It is not a de Polignac number, because 8182468849 - 217 = 8182337777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8182468793 and 8182468802.

It is not an unprimeable number, because it can be changed into a prime (8182468829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 26141917 + ... + 26142229.

Almost surely, 28182468849 is an apocalyptic number.

8182468849 is the 90457-th square number.

8182468849 is the 45229-th centered octagonal number.

It is an amenable number.

8182468849 is a deficient number, since it is larger than the sum of its proper divisors (539262854).

8182468849 is an frugal number, since it uses more digits than its factorization.

8182468849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 330 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 58.

The cubic root of 8182468849 is about 2015.0915731934.

The spelling of 8182468849 in words is "eight billion, one hundred eighty-two million, four hundred sixty-eight thousand, eight hundred forty-nine".

Divisors: 1 17 289 313 4913 5321 83521 90457 97969 1537769 1665473 26142073 28313041 481321697 8182468849