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5288309 = 131723929
BaseRepresentation
bin10100001011000101110101
3100221200012022
4110023011311
52323211214
6305202525
762643545
oct24130565
910850168
105288309
112a92204
121930445
1311320a0
149b9325
156e6d8e
hex50b175

5288309 has 8 divisors (see below), whose sum is σ = 6030360. Its totient is φ = 4594176.

The previous prime is 5288281. The next prime is 5288317. The reversal of 5288309 is 9038825.

It can be written as a sum of positive squares in 4 ways, for example, as 970225 + 4318084 = 985^2 + 2078^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 5288309 - 220 = 4239733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5288359) 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 7 ways as a sum of consecutive naturals, for example, 11744 + ... + 12185.

It is an arithmetic number, because the mean of its divisors is an integer number (753795).

Almost surely, 25288309 is an apocalyptic number.

It is an amenable number.

5288309 is a deficient number, since it is larger than the sum of its proper divisors (742051).

5288309 is a wasteful number, since it uses less digits than its factorization.

5288309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23959.

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5288309 is about 2299.6323619222. The cubic root of 5288309 is about 174.2230481696.

The spelling of 5288309 in words is "five million, two hundred eighty-eight thousand, three hundred nine".

Divisors: 1 13 17 221 23929 311077 406793 5288309