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45744509 is a prime number
BaseRepresentation
bin1010111010000…
…0000101111101
310012002001200002
42232200011331
543202311014
64312244045
71063551626
oct256400575
9105061602
1045744509
1123904588
12133a0625
139628475
14610aa4d
154038dde
hex2ba017d

45744509 has 2 divisors, whose sum is σ = 45744510. Its totient is φ = 45744508.

The previous prime is 45744481. The next prime is 45744527. The reversal of 45744509 is 90544754.

45744509 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., 37478884 + 8265625 = 6122^2 + 2875^2 .

It is a cyclic number.

It is not a de Polignac number, because 45744509 - 28 = 45744253 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (45744599) 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, 22872254 + 22872255.

It is an arithmetic number, because the mean of its divisors is an integer number (22872255).

Almost surely, 245744509 is an apocalyptic number.

It is an amenable number.

45744509 is a deficient number, since it is larger than the sum of its proper divisors (1).

45744509 is an equidigital number, since it uses as much as digits as its factorization.

45744509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 45744509 is about 6763.4687106543. The cubic root of 45744509 is about 357.6401953935.

The spelling of 45744509 in words is "forty-five million, seven hundred forty-four thousand, five hundred nine".