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40149761 is a prime number
BaseRepresentation
bin1001100100101…
…0001100000001
32210112211010012
42121022030001
540234243021
63552314305
7665160461
oct231121401
983484105
1040149761
1120733123
1211542995
138419a72
145491ba1
1537d135b
hex264a301

40149761 has 2 divisors, whose sum is σ = 40149762. Its totient is φ = 40149760.

The previous prime is 40149757. The next prime is 40149763. The reversal of 40149761 is 16794104.

40149761 = 44802 + 44812.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20079361 + 20070400 = 4481^2 + 4480^2 .

It is a cyclic number.

It is not a de Polignac number, because 40149761 - 22 = 40149757 is a prime.

It is a super-2 number, since 2×401497612 = 3224006616714242, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 40149763, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (40149763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20074880 + 20074881.

It is an arithmetic number, because the mean of its divisors is an integer number (20074881).

Almost surely, 240149761 is an apocalyptic number.

40149761 is the 4481-st centered square number.

It is an amenable number.

40149761 is a deficient number, since it is larger than the sum of its proper divisors (1).

40149761 is an equidigital number, since it uses as much as digits as its factorization.

40149761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 40149761 is about 6336.3839056673. The cubic root of 40149761 is about 342.4214706208.

The spelling of 40149761 in words is "forty million, one hundred forty-nine thousand, seven hundred sixty-one".