Search a number
-
+
36483813 = 32373312
BaseRepresentation
bin1000101100101…
…1001011100101
32112122120101100
42023023023211
533314440223
63341550313
7622051542
oct213131345
975576340
1036483813
1119659913
1210275399
137735272
144bb9bc9
15330a043
hex22cb2e5

36483813 has 18 divisors (see below), whose sum is σ = 54287142. Its totient is φ = 23593680.

The previous prime is 36483793. The next prime is 36483829. The reversal of 36483813 is 31838463.

It is a happy number.

36483813 is a `hidden beast` number, since 3 + 648 + 3 + 8 + 1 + 3 = 666.

36483813 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., 35497764 + 986049 = 5958^2 + 993^2 .

It is not a de Polignac number, because 36483813 - 29 = 36483301 is a prime.

It is a super-2 number, since 2×364838132 = 2662137222037938, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36483833) 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 17 ways as a sum of consecutive naturals, for example, 110058 + ... + 110388.

Almost surely, 236483813 is an apocalyptic number.

It is an amenable number.

36483813 is a deficient number, since it is larger than the sum of its proper divisors (17803329).

36483813 is an equidigital number, since it uses as much as digits as its factorization.

36483813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 371 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 36483813 is about 6040.1831925861. The cubic root of 36483813 is about 331.6653284235.

The spelling of 36483813 in words is "thirty-six million, four hundred eighty-three thousand, eight hundred thirteen".

Divisors: 1 3 9 37 111 331 333 993 2979 12247 36741 109561 110223 328683 986049 4053757 12161271 36483813