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54764009 is a prime number
BaseRepresentation
bin1101000011101…
…0000111101001
310211001022002122
43100322013221
5103004422014
65233441025
71233325556
oct320720751
9124038078
1054764009
1128a05013
1216410175
13b465951
1473b7a2d
154c1b58e
hex343a1e9

54764009 has 2 divisors, whose sum is σ = 54764010. Its totient is φ = 54764008.

The previous prime is 54763957. The next prime is 54764027. The reversal of 54764009 is 90046745.

54764009 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., 54715609 + 48400 = 7397^2 + 220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-54764009 is a prime.

It is a Chen prime.

It is equal to p3268970 and since 54764009 and 3268970 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 54764009.

It is not a weakly prime, because it can be changed into another prime (54764309) 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, 27382004 + 27382005.

It is an arithmetic number, because the mean of its divisors is an integer number (27382005).

Almost surely, 254764009 is an apocalyptic number.

It is an amenable number.

54764009 is a deficient number, since it is larger than the sum of its proper divisors (1).

54764009 is an equidigital number, since it uses as much as digits as its factorization.

54764009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 54764009 is about 7400.2708734208. The cubic root of 54764009 is about 379.7505495809.

The spelling of 54764009 in words is "fifty-four million, seven hundred sixty-four thousand, nine".