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77320449 = 3210185061
BaseRepresentation
bin1001001101111…
…01000100000001
312101111021201100
410212331010001
5124243223244
611401125013
71626133023
oct446750401
9171437640
1077320449
113a710aa8
1221a89769
131303285b
14a3aa013
156bc4b69
hex49bd101

77320449 has 12 divisors (see below), whose sum is σ = 112792212. Its totient is φ = 51036000.

The previous prime is 77320433. The next prime is 77320469. The reversal of 77320449 is 94402377.

It can be written as a sum of positive squares in 2 ways, for example, as 74080449 + 3240000 = 8607^2 + 1800^2 .

It is not a de Polignac number, because 77320449 - 24 = 77320433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (77320469) 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 in 11 ways as a sum of consecutive naturals, for example, 41622 + ... + 43439.

It is an arithmetic number, because the mean of its divisors is an integer number (9399351).

Almost surely, 277320449 is an apocalyptic number.

It is an amenable number.

77320449 is a deficient number, since it is larger than the sum of its proper divisors (35471763).

77320449 is a wasteful number, since it uses less digits than its factorization.

77320449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85168 (or 85165 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77320449 is about 8793.2047059079. The cubic root of 77320449 is about 426.0214397726.

The spelling of 77320449 in words is "seventy-seven million, three hundred twenty thousand, four hundred forty-nine".

Divisors: 1 3 9 101 303 909 85061 255183 765549 8591161 25773483 77320449