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516091337 = 2928576229
BaseRepresentation
bin11110110000101…
…110110111001001
31022222010011012222
4132300232313021
52024104410322
6123113343425
715534463316
oct3660566711
91288104188
10516091337
11245358073
12124a07b75
1382bca3b8
144c783d0d
1530495e42
hex1ec2edc9

516091337 has 8 divisors (see below), whose sum is σ = 534160200. Its totient is φ = 498040704.

The previous prime is 516091327. The next prime is 516091343. The reversal of 516091337 is 733190615.

It can be written as a sum of positive squares in 4 ways, for example, as 117050761 + 399040576 = 10819^2 + 19976^2 .

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 516091337 - 226 = 448982473 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516091297 and 516091306.

It is not an unprimeable number, because it can be changed into a prime (516091327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79739 + ... + 85967.

It is an arithmetic number, because the mean of its divisors is an integer number (66770025).

Almost surely, 2516091337 is an apocalyptic number.

It is an amenable number.

516091337 is a deficient number, since it is larger than the sum of its proper divisors (18068863).

516091337 is a wasteful number, since it uses less digits than its factorization.

516091337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9115.

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 516091337 is about 22717.6437378527. The cubic root of 516091337 is about 802.1252538083.

The spelling of 516091337 in words is "five hundred sixteen million, ninety-one thousand, three hundred thirty-seven".

Divisors: 1 29 2857 6229 82853 180641 17796253 516091337