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516509245 = 57214914149
BaseRepresentation
bin11110110010010…
…100111000111101
31022222220101111001
4132302110320331
52024211243440
6123130330301
715541153600
oct3662247075
91288811431
10516509245
1124561304a
12124b89991
1383015695
144c852337
1530529b9a
hex1ec94e3d

516509245 has 24 divisors (see below), whose sum is σ = 725895000. Its totient is φ = 351775872.

The previous prime is 516509219. The next prime is 516509263. The reversal of 516509245 is 542905615.

It can be written as a sum of positive squares in 4 ways, for example, as 67535524 + 448973721 = 8218^2 + 21189^2 .

It is not a de Polignac number, because 516509245 - 213 = 516501053 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 29431 + ... + 43579.

It is an arithmetic number, because the mean of its divisors is an integer number (30245625).

Almost surely, 2516509245 is an apocalyptic number.

It is an amenable number.

516509245 is a deficient number, since it is larger than the sum of its proper divisors (209385755).

516509245 is a wasteful number, since it uses less digits than its factorization.

516509245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14317 (or 14310 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 516509245 is about 22726.8397495120. The cubic root of 516509245 is about 802.3417039445.

The spelling of 516509245 in words is "five hundred sixteen million, five hundred nine thousand, two hundred forty-five".

Divisors: 1 5 7 35 49 149 245 745 1043 5215 7301 14149 36505 70745 99043 495215 693301 2108201 3466505 10541005 14757407 73787035 103301849 516509245