Search a number
-
+
40529 is a prime number
BaseRepresentation
bin1001111001010001
32001121002
421321101
52244104
6511345
7226106
oct117121
961532
1040529
11284a5
121b555
13155a8
1410aad
15c01e
hex9e51

40529 has 2 divisors, whose sum is σ = 40530. Its totient is φ = 40528.

The previous prime is 40519. The next prime is 40531. The reversal of 40529 is 92504.

40529 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., 40000 + 529 = 200^2 + 23^2 .

It is a cyclic number.

It is not a de Polignac number, because 40529 - 212 = 36433 is a prime.

Together with 40531, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40529.

It is not a weakly prime, because it can be changed into another prime (40519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20264 + 20265.

It is an arithmetic number, because the mean of its divisors is an integer number (20265).

240529 is an apocalyptic number.

It is an amenable number.

40529 is a deficient number, since it is larger than the sum of its proper divisors (1).

40529 is an equidigital number, since it uses as much as digits as its factorization.

40529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 40529 is about 201.3181561608. The cubic root of 40529 is about 34.3496220402.

It can be divided in two parts, 405 and 29, that added together give a palindrome (434).

The spelling of 40529 in words is "forty thousand, five hundred twenty-nine".