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516869934 = 23721091272
BaseRepresentation
bin11110110011101…
…100111100101110
31100000120201020220
4132303230330232
52024304314214
6123142152210
715544215300
oct3663547456
91300521226
10516869934
1124583a039
12125122666
13831108c9
144c907970
153059b9a9
hex1ececf2e

516869934 has 72 divisors (see below), whose sum is σ = 1223176680. Its totient is φ = 145170144.

The previous prime is 516869911. The next prime is 516869957. The reversal of 516869934 is 439968615.

It is an interprime number because it is at equal distance from previous prime (516869911) and next prime (516869957).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 4069779 + ... + 4069905.

It is an arithmetic number, because the mean of its divisors is an integer number (16988565).

Almost surely, 2516869934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516869934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611588340).

516869934 is an abundant number, since it is smaller than the sum of its proper divisors (706306746).

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

516869934 is a wasteful number, since it uses less digits than its factorization.

516869934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 248 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 516869934 is about 22734.7736738240. The cubic root of 516869934 is about 802.5284243773.

The spelling of 516869934 in words is "five hundred sixteen million, eight hundred sixty-nine thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 127 147 218 254 294 327 381 654 762 763 889 1526 1778 2289 2667 4578 5334 5341 6223 10682 12446 13843 16023 16129 18669 27686 32046 32258 37338 41529 48387 83058 96774 96901 112903 193802 225806 290703 338709 581406 677418 678307 790321 1356614 1580642 1758061 2034921 2370963 3516122 4069842 4741926 5274183 10548366 12306427 24612854 36919281 73838562 86144989 172289978 258434967 516869934