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40926761 is a prime number
BaseRepresentation
bin1001110000011…
…1111000101001
32212000021221222
42130013320221
540434124021
64021111425
71004605001
oct234077051
985007858
1040926761
1121113977
1211858575
13862c625
145615001
1538d66ab
hex2707e29

40926761 has 2 divisors, whose sum is σ = 40926762. Its totient is φ = 40926760.

The previous prime is 40926757. The next prime is 40926763. The reversal of 40926761 is 16762904.

40926761 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., 28955161 + 11971600 = 5381^2 + 3460^2 .

It is a cyclic number.

It is not a de Polignac number, because 40926761 - 22 = 40926757 is a prime.

It is a super-2 number, since 2×409267612 = 3349999531902242, which contains 22 as substring.

Together with 40926763, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40926763) 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, 20463380 + 20463381.

It is an arithmetic number, because the mean of its divisors is an integer number (20463381).

Almost surely, 240926761 is an apocalyptic number.

It is an amenable number.

40926761 is a deficient number, since it is larger than the sum of its proper divisors (1).

40926761 is an equidigital number, since it uses as much as digits as its factorization.

40926761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 40926761 is about 6397.4026760866. The cubic root of 40926761 is about 344.6162813501.

The spelling of 40926761 in words is "forty million, nine hundred twenty-six thousand, seven hundred sixty-one".