Search a number
-
+
4336090801 = 722324092
BaseRepresentation
bin1000000100111001…
…10111111010110001
3102012012010020100121
410002130313322301
532340014401201
61554133250241
7212311110100
oct40234677261
912165106317
104336090801
111925679219
12a10193981
13541447903
142d1c40037
151a5a129a1
hex102737eb1

4336090801 has 27 divisors (see below), whose sum is σ = 5285788011. Its totient is φ = 3546363744.

The previous prime is 4336090793. The next prime is 4336090813. The reversal of 4336090801 is 1080906334.

The square root of 4336090801 is 65849.

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., 3962828401 + 373262400 = 62951^2 + 19320^2 .

It is not a de Polignac number, because 4336090801 - 23 = 4336090793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4336091801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10601485 + ... + 10601893.

Almost surely, 24336090801 is an apocalyptic number.

4336090801 is the 65849-th square number.

4336090801 is the 32925-th centered octagonal number.

It is an amenable number.

4336090801 is a deficient number, since it is larger than the sum of its proper divisors (949697210).

4336090801 is an frugal number, since it uses more digits than its factorization.

4336090801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The cubic root of 4336090801 is about 1630.6701550130.

The spelling of 4336090801 in words is "four billion, three hundred thirty-six million, ninety thousand, eight hundred one".

Divisors: 1 7 23 49 161 409 529 1127 2863 3703 9407 20041 25921 65849 167281 216361 460943 1170967 1514527 3847463 8196769 10601689 26932241 88491649 188525687 619441543 4336090801