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40951681 is a prime number
BaseRepresentation
bin1001110000110…
…1111110000001
32212001120010221
42130031332001
540440423211
64021423041
71005040441
oct234157601
985046127
1040951681
1121130671
121186aa81
13863aa84
145620121
1538ddc71
hex270df81

40951681 has 2 divisors, whose sum is σ = 40951682. Its totient is φ = 40951680.

The previous prime is 40951649. The next prime is 40951699. The reversal of 40951681 is 18615904.

40951681 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., 23853456 + 17098225 = 4884^2 + 4135^2 .

It is a cyclic number.

It is not a de Polignac number, because 40951681 - 25 = 40951649 is a prime.

It is a super-2 number, since 2×409516812 = 3354080353451522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (40951601) 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, 20475840 + 20475841.

It is an arithmetic number, because the mean of its divisors is an integer number (20475841).

Almost surely, 240951681 is an apocalyptic number.

It is an amenable number.

40951681 is a deficient number, since it is larger than the sum of its proper divisors (1).

40951681 is an equidigital number, since it uses as much as digits as its factorization.

40951681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The square root of 40951681 is about 6399.3500451218. The cubic root of 40951681 is about 344.6862119211.

It can be divided in two parts, 4095 and 1681, that added together give a square (5776 = 762).

The spelling of 40951681 in words is "forty million, nine hundred fifty-one thousand, six hundred eighty-one".