Search a number
-
+
40036289 is a prime number
BaseRepresentation
bin1001100010111…
…0011111000001
32210100001110112
42120232133001
540222130124
63550041105
7664205606
oct230563701
983301415
1040036289
1120665947
12114a9195
1383aa217
1454626ad
1537ac90e
hex262e7c1

40036289 has 2 divisors, whose sum is σ = 40036290. Its totient is φ = 40036288.

The previous prime is 40036247. The next prime is 40036303. The reversal of 40036289 is 98263004.

40036289 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., 36096064 + 3940225 = 6008^2 + 1985^2 .

It is a cyclic number.

It is not a de Polignac number, because 40036289 - 212 = 40032193 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40036189) 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, 20018144 + 20018145.

It is an arithmetic number, because the mean of its divisors is an integer number (20018145).

Almost surely, 240036289 is an apocalyptic number.

It is an amenable number.

40036289 is a deficient number, since it is larger than the sum of its proper divisors (1).

40036289 is an equidigital number, since it uses as much as digits as its factorization.

40036289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 40036289 is about 6327.4235672981. The cubic root of 40036289 is about 342.0985802706.

The spelling of 40036289 in words is "forty million, thirty-six thousand, two hundred eighty-nine".