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40576961 is a prime number
BaseRepresentation
bin1001101011001…
…0011111000001
32211100112010102
42122302133001
540341430321
64005412145
71001620115
oct232623701
984315112
1040576961
11209a5087
121170a055
138539349
145563745
153867c0b
hex26b27c1

40576961 has 2 divisors, whose sum is σ = 40576962. Its totient is φ = 40576960.

The previous prime is 40576937. The next prime is 40576981. The reversal of 40576961 is 16967504.

40576961 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., 40246336 + 330625 = 6344^2 + 575^2 .

It is a cyclic number.

It is not a de Polignac number, because 40576961 - 26 = 40576897 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40576981) 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, 20288480 + 20288481.

It is an arithmetic number, because the mean of its divisors is an integer number (20288481).

Almost surely, 240576961 is an apocalyptic number.

It is an amenable number.

40576961 is a deficient number, since it is larger than the sum of its proper divisors (1).

40576961 is an equidigital number, since it uses as much as digits as its factorization.

40576961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 40576961 is about 6370.0047880673. The cubic root of 40576961 is about 343.6316619217.

The spelling of 40576961 in words is "forty million, five hundred seventy-six thousand, nine hundred sixty-one".