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516566064 = 24371537399
BaseRepresentation
bin11110110010100…
…010110000110000
31100000000021102110
4132302202300300
52024220103224
6123131445320
715541511340
oct3662426060
91300007373
10516566064
11245651803
12124bb6840
13830354c1
144c868d20
153053b929
hex1eca2c30

516566064 has 40 divisors (see below), whose sum is σ = 1525100800. Its totient is φ = 147590208.

The previous prime is 516566059. The next prime is 516566087. The reversal of 516566064 is 460665615.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 768364 + ... + 769035.

It is an arithmetic number, because the mean of its divisors is an integer number (38127520).

Almost surely, 2516566064 is an apocalyptic number.

It is an amenable number.

516566064 is an abundant number, since it is smaller than the sum of its proper divisors (1008534736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516566064 is a wasteful number, since it uses less digits than its factorization.

516566064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537417 (or 1537411 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 516566064 is about 22728.0897569505. The cubic root of 516566064 is about 802.3711236062.

It can be divided in two parts, 516 and 566064, that added together give a triangular number (566580 = T1064).

The spelling of 516566064 in words is "five hundred sixteen million, five hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1537399 3074798 4612197 6149596 9224394 10761793 12299192 18448788 21523586 24598384 32285379 36897576 43047172 64570758 73795152 86094344 129141516 172188688 258283032 516566064