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45629009 is a prime number
BaseRepresentation
bin1010111000001…
…1111001010001
310011212012020022
42232003321101
543140112014
64305553225
71062561116
oct256037121
9104765208
1045629009
1123835828
1213345815
1395b7a1a
1460ba90d
154014a8e
hex2b83e51

45629009 has 2 divisors, whose sum is σ = 45629010. Its totient is φ = 45629008.

The previous prime is 45628997. The next prime is 45629027. The reversal of 45629009 is 90092654.

45629009 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., 28654609 + 16974400 = 5353^2 + 4120^2 .

It is a cyclic number.

It is not a de Polignac number, because 45629009 - 212 = 45624913 is a prime.

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 45629009.

It is not a weakly prime, because it can be changed into another prime (45629509) 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, 22814504 + 22814505.

It is an arithmetic number, because the mean of its divisors is an integer number (22814505).

Almost surely, 245629009 is an apocalyptic number.

It is an amenable number.

45629009 is a deficient number, since it is larger than the sum of its proper divisors (1).

45629009 is an equidigital number, since it uses as much as digits as its factorization.

45629009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 45629009 is about 6754.9247960285. The cubic root of 45629009 is about 357.3389406058.

The spelling of 45629009 in words is "forty-five million, six hundred twenty-nine thousand, nine".