Search a number
-
+
2953813801 = 1722321392
BaseRepresentation
bin1011000000001111…
…1001111100101001
321121212010021210011
42300003321330221
522022134020201
61205034251521
7133125001021
oct26003717451
97555107704
102953813801
111286395034
126a5286ba1
13380c63023
14200422a81
151244be151
hexb00f9f29

2953813801 has 27 divisors (see below), whose sum is σ = 3303913431. Its totient is φ = 2640057024.

The previous prime is 2953813771. The next prime is 2953813817. The reversal of 2953813801 is 1083183592.

The square root of 2953813801 is 54349.

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

2953813801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2299682025 + 654131776 = 47955^2 + 25576^2 .

It is not a de Polignac number, because 2953813801 - 25 = 2953813769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2953813201) 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, 21250390 + ... + 21250528.

Almost surely, 22953813801 is an apocalyptic number.

2953813801 is the 54349-th square number.

2953813801 is the 27175-th centered octagonal number.

It is an amenable number.

2953813801 is a deficient number, since it is larger than the sum of its proper divisors (350099630).

2953813801 is an equidigital number, since it uses as much as digits as its factorization.

2953813801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The cubic root of 2953813801 is about 1434.8099237126.

The spelling of 2953813801 in words is "two billion, nine hundred fifty-three million, eight hundred thirteen thousand, eight hundred one".

Divisors: 1 17 23 139 289 391 529 2363 3197 6647 8993 19321 40171 54349 73531 152881 328457 444383 923933 1250027 5583769 7554511 10220809 21250459 128426687 173753753 2953813801