Search a number
-
+
40767313 is a prime number
BaseRepresentation
bin1001101110000…
…0111101010001
32211201012020111
42123200331101
540414023223
64013441321
71003342066
oct233407521
984635214
1040767313
11210150a4
12117a0241
1385a4b92
1455b2c6d
1538a430d
hex26e0f51

40767313 has 2 divisors, whose sum is σ = 40767314. Its totient is φ = 40767312.

The previous prime is 40767271. The next prime is 40767317. The reversal of 40767313 is 31376704.

40767313 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., 34774609 + 5992704 = 5897^2 + 2448^2 .

It is a cyclic number.

It is not a de Polignac number, because 40767313 - 221 = 38670161 is a prime.

It is not a weakly prime, because it can be changed into another prime (40767317) 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, 20383656 + 20383657.

It is an arithmetic number, because the mean of its divisors is an integer number (20383657).

Almost surely, 240767313 is an apocalyptic number.

It is an amenable number.

40767313 is a deficient number, since it is larger than the sum of its proper divisors (1).

40767313 is an equidigital number, since it uses as much as digits as its factorization.

40767313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 40767313 is about 6384.9285822161. The cubic root of 40767313 is about 344.1681646919.

The spelling of 40767313 in words is "forty million, seven hundred sixty-seven thousand, three hundred thirteen".