Search a number
-
+
40477529 is a prime number
BaseRepresentation
bin1001101001101…
…0001101011001
32211011110201202
42122122031121
540330240104
64003323545
71001024201
oct232321531
984143652
1040477529
1120937404
12116805b5
138503001
145539401
15384851e
hex269a359

40477529 has 2 divisors, whose sum is σ = 40477530. Its totient is φ = 40477528.

The previous prime is 40477487. The next prime is 40477553. The reversal of 40477529 is 92577404.

40477529 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., 38105929 + 2371600 = 6173^2 + 1540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40477529 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 40477492 and 40477501.

It is not a weakly prime, because it can be changed into another prime (40477589) 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, 20238764 + 20238765.

It is an arithmetic number, because the mean of its divisors is an integer number (20238765).

Almost surely, 240477529 is an apocalyptic number.

It is an amenable number.

40477529 is a deficient number, since it is larger than the sum of its proper divisors (1).

40477529 is an equidigital number, since it uses as much as digits as its factorization.

40477529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 40477529 is about 6362.1952972225. The cubic root of 40477529 is about 343.3507477473.

The spelling of 40477529 in words is "forty million, four hundred seventy-seven thousand, five hundred twenty-nine".