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520685172 = 22347232797
BaseRepresentation
bin11111000010010…
…000011001110100
31100021202112210000
4133002100121310
52031243411142
6123400031300
715621515400
oct3702203164
91307675700
10520685172
11247a05527
12126462530
1383b48347
144d21c100
1530aa214c
hex1f090674

520685172 has 90 divisors (see below), whose sum is σ = 1583454642. Its totient is φ = 148762656.

The previous prime is 520685171. The next prime is 520685173. The reversal of 520685172 is 271586025.

It is a happy number.

520685172 is a `hidden beast` number, since 520 + 68 + 5 + 1 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (520685171) and next prime (520685173).

It can be written as a sum of positive squares in only one way, i.e., 520113636 + 571536 = 22806^2 + 756^2 .

It is a super-2 number, since 2×5206851722 = 542226096681339168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520685171) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 523 + ... + 32274.

Almost surely, 2520685172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520685172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791727321).

520685172 is an abundant number, since it is smaller than the sum of its proper divisors (1062769470).

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

520685172 is a wasteful number, since it uses less digits than its factorization.

520685172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32827 (or 32809 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 520685172 is about 22818.5269463215. The cubic root of 520685172 is about 804.4981875655.

The spelling of 520685172 in words is "five hundred twenty million, six hundred eighty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 32797 65594 98391 131188 196782 229579 295173 393564 459158 590346 688737 885519 918316 1180692 1377474 1607053 1771038 2066211 2656557 2754948 3214106 3542076 4132422 4821159 5313114 6198633 6428212 8264844 9642318 10626228 12397266 14463477 18595899 19284636 24794532 28926954 37191798 43390431 57853908 74383596 86780862 130171293 173561724 260342586 520685172