Search a number
-
+
40733129 is a prime number
BaseRepresentation
bin1001101101100…
…0100111001001
32211122110100102
42123120213021
540411430004
64013015145
71003140323
oct233304711
984573312
1040733129
1120aa1448
12117844b5
138592458
1455a4613
15389911e
hex26d89c9

40733129 has 2 divisors, whose sum is σ = 40733130. Its totient is φ = 40733128.

The previous prime is 40733123. The next prime is 40733149. The reversal of 40733129 is 92133704.

40733129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37210000 + 3523129 = 6100^2 + 1877^2 .

It is a cyclic number.

It is not a de Polignac number, because 40733129 - 28 = 40732873 is a prime.

It is not a weakly prime, because it can be changed into another prime (40733123) 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, 20366564 + 20366565.

It is an arithmetic number, because the mean of its divisors is an integer number (20366565).

Almost surely, 240733129 is an apocalyptic number.

It is an amenable number.

40733129 is a deficient number, since it is larger than the sum of its proper divisors (1).

40733129 is an equidigital number, since it uses as much as digits as its factorization.

40733129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 40733129 is about 6382.2510918954. The cubic root of 40733129 is about 344.0719410788.

The spelling of 40733129 in words is "forty million, seven hundred thirty-three thousand, one hundred twenty-nine".