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516873852 = 223311479257
BaseRepresentation
bin11110110011101…
…101111001111100
31100000120220122000
4132303231321330
52024304430402
6123142222300
715544232565
oct3663557174
91300526560
10516873852
11245841a80
12125124990
1383112621
144c90916c
153059cc1c
hex1ecede7c

516873852 has 96 divisors (see below), whose sum is σ = 1493130240. Its totient is φ = 153279360.

The previous prime is 516873827. The next prime is 516873859. The reversal of 516873852 is 258378615.

516873852 is a `hidden beast` number, since 516 + 87 + 3 + 8 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 516873798 and 516873807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516873859) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51208 + ... + 60464.

It is an arithmetic number, because the mean of its divisors is an integer number (15553440).

Almost surely, 2516873852 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 516873852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746565120).

516873852 is an abundant number, since it is smaller than the sum of its proper divisors (976256388).

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

516873852 is a wasteful number, since it uses less digits than its factorization.

516873852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9328 (or 9320 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 516873852 is about 22734.8598412218. The cubic root of 516873852 is about 802.5304521591.

The spelling of 516873852 in words is "five hundred sixteen million, eight hundred seventy-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1692 2068 2538 3102 4653 5076 6204 9257 9306 13959 18514 18612 27771 27918 37028 55542 55836 83313 101827 111084 166626 203654 249939 305481 333252 407308 435079 499878 610962 870158 916443 999756 1221924 1305237 1740316 1832886 2610474 2749329 3665772 3915711 4785869 5220948 5498658 7831422 9571738 10997316 11747133 14357607 15662844 19143476 23494266 28715214 43072821 46988532 57430428 86145642 129218463 172291284 258436926 516873852