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516640319 = 13173476737
BaseRepresentation
bin11110110010110…
…100111000111111
31100000011001021122
4132302310320333
52024224442234
6123133221155
715542240666
oct3662647077
91300131248
10516640319
112456a2578
121250317bb
1383060240
144c887ddd
153055392e
hex1ecb4e3f

516640319 has 16 divisors (see below), whose sum is σ = 590895648. Its totient is φ = 447485952.

The previous prime is 516640291. The next prime is 516640321. The reversal of 516640319 is 913046615.

It is a cyclic number.

It is not a de Polignac number, because 516640319 - 28 = 516640063 is a prime.

It is a super-2 number, since 2×5166403192 = 533834438432843522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516640219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73319 + ... + 80055.

It is an arithmetic number, because the mean of its divisors is an integer number (36930978).

Almost surely, 2516640319 is an apocalyptic number.

516640319 is a deficient number, since it is larger than the sum of its proper divisors (74255329).

516640319 is a wasteful number, since it uses less digits than its factorization.

516640319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7114.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 516640319 is about 22729.7232495251. The cubic root of 516640319 is about 802.4095680036.

The spelling of 516640319 in words is "five hundred sixteen million, six hundred forty thousand, three hundred nineteen".

Divisors: 1 13 17 221 347 4511 5899 6737 76687 87581 114529 1488877 2337739 30390607 39741563 516640319