Search a number
-
+
3636934249 = 13246392
BaseRepresentation
bin1101100011000111…
…0011011001101001
3100101110112101212111
43120301303121221
524422023343444
61400520042321
7156061300564
oct33061633151
910343471774
103636934249
1115a6a55593
128560033a1
1345c642400
142670454db
1516445a234
hexd8c73669

3636934249 has 9 divisors (see below), whose sum is σ = 3939067863. Its totient is φ = 3356446392.

The previous prime is 3636934247. The next prime is 3636934303. The reversal of 3636934249 is 9424396363.

The square root of 3636934249 is 60307.

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., 538008025 + 3098926224 = 23195^2 + 55668^2 .

It is not a de Polignac number, because 3636934249 - 21 = 3636934247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3636934243) 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 8 ways as a sum of consecutive naturals, for example, 781672 + ... + 786310.

It is an arithmetic number, because the mean of its divisors is an integer number (437674207).

Almost surely, 23636934249 is an apocalyptic number.

3636934249 is the 60307-th square number.

3636934249 is the 30154-th centered octagonal number.

It is an amenable number.

3636934249 is a deficient number, since it is larger than the sum of its proper divisors (302133614).

3636934249 is an frugal number, since it uses more digits than its factorization.

3636934249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9304 (or 4652 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 49.

The cubic root of 3636934249 is about 1537.8423498689.

Multiplying 3636934249 by its sum of digits (49), we get a square (178209778201 = 4221492).

The spelling of 3636934249 in words is "three billion, six hundred thirty-six million, nine hundred thirty-four thousand, two hundred forty-nine".

Divisors: 1 13 169 4639 60307 783991 21520321 279764173 3636934249