Search a number
-
+
36293461 is a prime number
BaseRepresentation
bin1000101001110…
…0101101010101
32112021220021021
42022130231111
533242342321
63333521141
7620326561
oct212345525
975256237
1036293461
11195398a6
12101a31b1
137699729
144b6a6a1
1532bd941
hex229cb55

36293461 has 2 divisors, whose sum is σ = 36293462. Its totient is φ = 36293460.

The previous prime is 36293407. The next prime is 36293479. The reversal of 36293461 is 16439263.

It is a happy number.

36293461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27772900 + 8520561 = 5270^2 + 2919^2 .

It is an emirp because it is prime and its reverse (16439263) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36293461 - 217 = 36162389 is a prime.

It is a super-2 number, since 2×362934612 = 2634430622717042, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36293261) 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 as a sum of consecutive naturals, namely, 18146730 + 18146731.

It is an arithmetic number, because the mean of its divisors is an integer number (18146731).

Almost surely, 236293461 is an apocalyptic number.

It is an amenable number.

36293461 is a deficient number, since it is larger than the sum of its proper divisors (1).

36293461 is an equidigital number, since it uses as much as digits as its factorization.

36293461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 23328, while the sum is 34.

The square root of 36293461 is about 6024.4054478430. The cubic root of 36293461 is about 331.0875080101.

The spelling of 36293461 in words is "thirty-six million, two hundred ninety-three thousand, four hundred sixty-one".