Search a number
-
+
90367493 is a prime number
BaseRepresentation
bin1010110001011…
…10011000000101
320022001010220012
411120232120011
5141113224433
612544520005
72145053036
oct530563005
9208033805
1090367493
1147012487
1226320005
13159502b8
14c004a8d
157e00848
hex562e605

90367493 has 2 divisors, whose sum is σ = 90367494. Its totient is φ = 90367492.

The previous prime is 90367481. The next prime is 90367499. The reversal of 90367493 is 39476309.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73582084 + 16785409 = 8578^2 + 4097^2 .

It is an emirp because it is prime and its reverse (39476309) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-90367493 is a prime.

It is a super-3 number, since 3×903674933 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90367493.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (90367499) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45183746 + 45183747.

It is an arithmetic number, because the mean of its divisors is an integer number (45183747).

Almost surely, 290367493 is an apocalyptic number.

It is an amenable number.

90367493 is a deficient number, since it is larger than the sum of its proper divisors (1).

90367493 is an equidigital number, since it uses as much as digits as its factorization.

90367493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 90367493 is about 9506.1818307878. The cubic root of 90367493 is about 448.7496036909.

The spelling of 90367493 in words is "ninety million, three hundred sixty-seven thousand, four hundred ninety-three".