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45287129 is a prime number
BaseRepresentation
bin1010110011000…
…0011011011001
310011012211021002
42230300123121
543043142004
64254354345
71056635306
oct254603331
9104184232
1045287129
1123621988
12131bb9b5
1394c8224
14602c0ad
153e9861e
hex2b306d9

45287129 has 2 divisors, whose sum is σ = 45287130. Its totient is φ = 45287128.

The previous prime is 45287119. The next prime is 45287147. The reversal of 45287129 is 92178254.

45287129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45225625 + 61504 = 6725^2 + 248^2 .

It is a cyclic number.

It is not a de Polignac number, because 45287129 - 24 = 45287113 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 45287092 and 45287101.

It is not a weakly prime, because it can be changed into another prime (45287119) 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, 22643564 + 22643565.

It is an arithmetic number, because the mean of its divisors is an integer number (22643565).

Almost surely, 245287129 is an apocalyptic number.

It is an amenable number.

45287129 is a deficient number, since it is larger than the sum of its proper divisors (1).

45287129 is an equidigital number, since it uses as much as digits as its factorization.

45287129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 38.

The square root of 45287129 is about 6729.5712344844. The cubic root of 45287129 is about 356.4442361735. Note that the first 3 decimals are identical.

The spelling of 45287129 in words is "forty-five million, two hundred eighty-seven thousand, one hundred twenty-nine".