Search a number
-
+
36363969 = 3217237673
BaseRepresentation
bin1000101010110…
…1111011000001
32112102110222200
42022231323001
533302121334
63335223413
7621042255
oct212557301
975373880
1036363969
1119587874
1210217b69
1376c2855
144b88265
1532d4799
hex22adec1

36363969 has 12 divisors (see below), whose sum is σ = 55615716. Its totient is φ = 22816512.

The previous prime is 36363959. The next prime is 36363983. The reversal of 36363969 is 96936363.

36363969 is a `hidden beast` number, since 3 + 6 + 3 + 639 + 6 + 9 = 666.

36363969 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 2 ways, for example, as 10810944 + 25553025 = 3288^2 + 5055^2 .

It is not a de Polignac number, because 36363969 - 24 = 36363953 is a prime.

It is a super-2 number, since 2×363639692 = 2644676482865922, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36363919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118684 + ... + 118989.

It is an arithmetic number, because the mean of its divisors is an integer number (4634643).

Almost surely, 236363969 is an apocalyptic number.

It is an amenable number.

36363969 is a deficient number, since it is larger than the sum of its proper divisors (19251747).

36363969 is a wasteful number, since it uses less digits than its factorization.

36363969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237696 (or 237693 counting only the distinct ones).

The product of its digits is 472392, while the sum is 45.

The square root of 36363969 is about 6030.2544722424. The cubic root of 36363969 is about 331.3017726601.

The spelling of 36363969 in words is "thirty-six million, three hundred sixty-three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 17 51 153 237673 713019 2139057 4040441 12121323 36363969