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77072269 is a prime number
BaseRepresentation
bin1001001100000…
…00011110001101
312101000200021111
410212000132031
5124212303034
611351532021
71624050331
oct446003615
9171020244
1077072269
113a56159a
122198a011
1312c768c1
14a3437c1
156b76364
hex498078d

77072269 has 2 divisors, whose sum is σ = 77072270. Its totient is φ = 77072268.

The previous prime is 77072267. The next prime is 77072323. The reversal of 77072269 is 96227077.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66748900 + 10323369 = 8170^2 + 3213^2 .

It is a cyclic number.

It is not a de Polignac number, because 77072269 - 21 = 77072267 is a prime.

It is a super-2 number, since 2×770722692 = 11880269297616722, which contains 22 as substring.

Together with 77072267, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (77072267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 38536134 + 38536135.

It is an arithmetic number, because the mean of its divisors is an integer number (38536135).

Almost surely, 277072269 is an apocalyptic number.

It is an amenable number.

77072269 is a deficient number, since it is larger than the sum of its proper divisors (1).

77072269 is an equidigital number, since it uses as much as digits as its factorization.

77072269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 77072269 is about 8779.0813300709. The cubic root of 77072269 is about 425.5651425186.

The spelling of 77072269 in words is "seventy-seven million, seventy-two thousand, two hundred sixty-nine".