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40506857 is a prime number
BaseRepresentation
bin1001101010000…
…1010111101001
32211012221221222
42122201113221
540332204412
64004111425
71001205536
oct232412751
984187858
1040506857
1120957446
1211695575
138513471
145545d8d
153852072
hex26a15e9

40506857 has 2 divisors, whose sum is σ = 40506858. Its totient is φ = 40506856.

The previous prime is 40506853. The next prime is 40506859. The reversal of 40506857 is 75860504.

40506857 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., 28472896 + 12033961 = 5336^2 + 3469^2 .

It is a cyclic number.

It is not a de Polignac number, because 40506857 - 22 = 40506853 is a prime.

Together with 40506859, 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 (40506853) 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, 20253428 + 20253429.

It is an arithmetic number, because the mean of its divisors is an integer number (20253429).

Almost surely, 240506857 is an apocalyptic number.

It is an amenable number.

40506857 is a deficient number, since it is larger than the sum of its proper divisors (1).

40506857 is an equidigital number, since it uses as much as digits as its factorization.

40506857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 40506857 is about 6364.4997446775. The cubic root of 40506857 is about 343.4336526737.

The spelling of 40506857 in words is "forty million, five hundred six thousand, eight hundred fifty-seven".