Search a number
-
+
36295729 is a prime number
BaseRepresentation
bin1000101001110…
…1010000110001
32112022000101021
42022131100301
533242430404
63333535441
7620336311
oct212352061
975260337
1036295729
1119540578
12101a4581
13769a782
144b6b441
1532be454
hex229d431

36295729 has 2 divisors, whose sum is σ = 36295730. Its totient is φ = 36295728.

The previous prime is 36295723. The next prime is 36295739. The reversal of 36295729 is 92759263.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35129329 + 1166400 = 5927^2 + 1080^2 .

It is a cyclic number.

It is not a de Polignac number, because 36295729 - 27 = 36295601 is a prime.

It is a super-3 number, since 3×362957293 (a number of 24 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (36295723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18147864 + 18147865.

It is an arithmetic number, because the mean of its divisors is an integer number (18147865).

Almost surely, 236295729 is an apocalyptic number.

It is an amenable number.

36295729 is a deficient number, since it is larger than the sum of its proper divisors (1).

36295729 is an equidigital number, since it uses as much as digits as its factorization.

36295729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 204120, while the sum is 43.

The square root of 36295729 is about 6024.5936792451. The cubic root of 36295729 is about 331.0944044850.

The spelling of 36295729 in words is "thirty-six million, two hundred ninety-five thousand, seven hundred twenty-nine".