Search a number
-
+
2864283361 = 10924912
BaseRepresentation
bin1010101010111001…
…0111111011100001
321101121122200002221
42222232113323201
521331224031421
61152115311041
7130660002232
oct25256277341
97347580087
102864283361
11123a8a4535
1267b2ab481
13368546a34
141d2599089
1511b6d6841
hexaab97ee1

2864283361 has 9 divisors (see below), whose sum is σ = 2896701843. Its totient is φ = 2832225480.

The previous prime is 2864283283. The next prime is 2864283371. The reversal of 2864283361 is 1633824682.

The square root of 2864283361 is 53519.

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., 1996391761 + 867891600 = 44681^2 + 29460^2 .

It is not a de Polignac number, because 2864283361 - 211 = 2864281313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2864283371) 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 8 ways as a sum of consecutive naturals, for example, 5833326 + ... + 5833816.

Almost surely, 22864283361 is an apocalyptic number.

2864283361 is the 53519-th square number.

2864283361 is the 26760-th centered octagonal number.

It is an amenable number.

2864283361 is a deficient number, since it is larger than the sum of its proper divisors (32418482).

2864283361 is an frugal number, since it uses more digits than its factorization.

2864283361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The cubic root of 2864283361 is about 1420.1645251742.

Multiplying 2864283361 by its product of digits (331776), we get a square (950300476379136 = 308269442).

It can be divided in two parts, 2864 and 283361, that added together give a square (286225 = 5352).

The spelling of 2864283361 in words is "two billion, eight hundred sixty-four million, two hundred eighty-three thousand, three hundred sixty-one".

Divisors: 1 109 491 11881 53519 241081 5833571 26277829 2864283361