Search a number
-
+
2089766241 = 321571478957
BaseRepresentation
bin111110010001111…
…0100110101100001
312101122021010100200
41330203310311201
513234440004431
6543210535413
7102533501643
oct17443646541
95348233320
102089766241
11982689342
124a3a37569
13273c46a94
1415b784893
15c36e4ee6
hex7c8f4d61

2089766241 has 12 divisors (see below), whose sum is σ = 3037779732. Its totient is φ = 1384302816.

The previous prime is 2089766233. The next prime is 2089766251. The reversal of 2089766241 is 1426679802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1176215616 + 913550625 = 34296^2 + 30225^2 .

It is not a de Polignac number, because 2089766241 - 23 = 2089766233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2089766201) 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 11 ways as a sum of consecutive naturals, for example, 738066 + ... + 740891.

It is an arithmetic number, because the mean of its divisors is an integer number (253148311).

Almost surely, 22089766241 is an apocalyptic number.

It is an amenable number.

2089766241 is a deficient number, since it is larger than the sum of its proper divisors (948013491).

2089766241 is a wasteful number, since it uses less digits than its factorization.

2089766241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479120 (or 1479117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2089766241 is about 45713.9611169279. The cubic root of 2089766241 is about 1278.4955960279.

The spelling of 2089766241 in words is "two billion, eighty-nine million, seven hundred sixty-six thousand, two hundred forty-one".

Divisors: 1 3 9 157 471 1413 1478957 4436871 13310613 232196249 696588747 2089766241