Search a number
-
+
648433873 = 17193257769
BaseRepresentation
bin100110101001100…
…101000011010001
31200012010212001101
4212221211003101
52311444340443
6144202104401
722032411523
oct4651450321
91605125041
10648433873
11303029a6a
121611ab101
13a44561a9
1462193a13
153bdd884d
hex26a650d1

648433873 has 16 divisors (see below), whose sum is σ = 693720720. Its totient is φ = 603979776.

The previous prime is 648433861. The next prime is 648433909. The reversal of 648433873 is 378334846.

It can be written as a sum of positive squares in 8 ways, for example, as 52243984 + 596189889 = 7228^2 + 24417^2 .

It is a 7-Lehmer number, since φ(648433873) divides (648433873-1)7.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-648433873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (648433073) 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 15 ways as a sum of consecutive naturals, for example, 842833 + ... + 843601.

It is an arithmetic number, because the mean of its divisors is an integer number (43357545).

Almost surely, 2648433873 is an apocalyptic number.

It is an amenable number.

648433873 is a deficient number, since it is larger than the sum of its proper divisors (45286847).

648433873 is a wasteful number, since it uses less digits than its factorization.

648433873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236.

The product of its digits is 1161216, while the sum is 46.

The square root of 648433873 is about 25464.3647672586. The cubic root of 648433873 is about 865.5428327834.

The spelling of 648433873 in words is "six hundred forty-eight million, four hundred thirty-three thousand, eight hundred seventy-three".

Divisors: 1 17 193 257 769 3281 4369 13073 49601 148417 197633 843217 2523089 3359761 38143169 648433873