Search a number
-
+
40337441 is a prime number
BaseRepresentation
bin1001100111100…
…0000000100001
32210220100120022
42121320000201
540311244231
64000323225
7666601604
oct231700041
983810508
1040337441
1120851131
1211613515
138484311
14550033b
15381bc7b
hex2678021

40337441 has 2 divisors, whose sum is σ = 40337442. Its totient is φ = 40337440.

The previous prime is 40337411. The next prime is 40337449. The reversal of 40337441 is 14473304.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21196816 + 19140625 = 4604^2 + 4375^2 .

It is a cyclic number.

It is not a de Polignac number, because 40337441 - 222 = 36143137 is a prime.

It is a Sophie Germain prime.

It is a Chen 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 40337441.

It is not a weakly prime, because it can be changed into another prime (40337449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20168720 + 20168721.

It is an arithmetic number, because the mean of its divisors is an integer number (20168721).

Almost surely, 240337441 is an apocalyptic number.

It is an amenable number.

40337441 is a deficient number, since it is larger than the sum of its proper divisors (1).

40337441 is an equidigital number, since it uses as much as digits as its factorization.

40337441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 40337441 is about 6351.1763477328. The cubic root of 40337441 is about 342.9541909714.

The spelling of 40337441 in words is "forty million, three hundred thirty-seven thousand, four hundred forty-one".