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509134836 = 223717596043
BaseRepresentation
bin11110010110001…
…100011111110100
31022111000201200210
4132112030133310
52020314303321
6122304305420
715421401060
oct3626143764
91274021623
10509134836
112414365a1
12122612270
1381632c22
144b892aa0
152ea6eb76
hex1e58c7f4

509134836 has 96 divisors (see below), whose sum is σ = 1462164480. Its totient is φ = 134567424.

The previous prime is 509134807. The next prime is 509134859. The reversal of 509134836 is 638431905.

It is a junction number, because it is equal to n+sod(n) for n = 509134794 and 509134803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81231 + ... + 87273.

It is an arithmetic number, because the mean of its divisors is an integer number (15230880).

Almost surely, 2509134836 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 509134836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731082240).

509134836 is an abundant number, since it is smaller than the sum of its proper divisors (953029644).

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

509134836 is a wasteful number, since it uses less digits than its factorization.

509134836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6133 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 509134836 is about 22564.0163977958. The cubic root of 509134836 is about 798.5049347989.

The spelling of 509134836 in words is "five hundred nine million, one hundred thirty-four thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 59 68 84 102 118 119 177 204 236 238 354 357 413 476 708 714 826 1003 1239 1428 1652 2006 2478 3009 4012 4956 6018 6043 7021 12036 12086 14042 18129 21063 24172 28084 36258 42126 42301 72516 84252 84602 102731 126903 169204 205462 253806 308193 356537 410924 507612 616386 713074 719117 1069611 1232772 1426148 1438234 2139222 2157351 2495759 2876468 4278444 4314702 4991518 6061129 7487277 8629404 9983036 12122258 14974554 18183387 24244516 29949108 36366774 42427903 72733548 84855806 127283709 169711612 254567418 509134836