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45814157 is a prime number
BaseRepresentation
bin1010111011000…
…1000110001101
310012012121012122
42232301012031
543212023112
64313542325
71064261654
oct256610615
9105177178
1045814157
1123951944
12134149a5
13965108c
14612819b
15404e872
hex2bb118d

45814157 has 2 divisors, whose sum is σ = 45814158. Its totient is φ = 45814156.

The previous prime is 45814151. The next prime is 45814159. The reversal of 45814157 is 75141854.

45814157 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., 33884041 + 11930116 = 5821^2 + 3454^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-45814157 is a prime.

Together with 45814159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45814151) 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, 22907078 + 22907079.

It is an arithmetic number, because the mean of its divisors is an integer number (22907079).

Almost surely, 245814157 is an apocalyptic number.

It is an amenable number.

45814157 is a deficient number, since it is larger than the sum of its proper divisors (1).

45814157 is an equidigital number, since it uses as much as digits as its factorization.

45814157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 22400, while the sum is 35.

The square root of 45814157 is about 6768.6155896165. The cubic root of 45814157 is about 357.8216109259.

The spelling of 45814157 in words is "forty-five million, eight hundred fourteen thousand, one hundred fifty-seven".