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406951157 is a prime number
BaseRepresentation
bin11000010000011…
…001010011110101
31001100202021001002
4120100121103311
51313134414112
6104214213045
713041012344
oct3020312365
91040667032
10406951157
11199793478
12b4354185
1366406502
143c093b5b
1525ad81c2
hex184194f5

406951157 has 2 divisors, whose sum is σ = 406951158. Its totient is φ = 406951156.

The previous prime is 406951147. The next prime is 406951159. The reversal of 406951157 is 751159604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334377796 + 72573361 = 18286^2 + 8519^2 .

It is a cyclic number.

It is not a de Polignac number, because 406951157 - 26 = 406951093 is a prime.

Together with 406951159, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 406951157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406951159) 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, 203475578 + 203475579.

It is an arithmetic number, because the mean of its divisors is an integer number (203475579).

Almost surely, 2406951157 is an apocalyptic number.

It is an amenable number.

406951157 is a deficient number, since it is larger than the sum of its proper divisors (1).

406951157 is an equidigital number, since it uses as much as digits as its factorization.

406951157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 406951157 is about 20173.0304366994. The cubic root of 406951157 is about 741.0498593551.

The spelling of 406951157 in words is "four hundred six million, nine hundred fifty-one thousand, one hundred fifty-seven".