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505232316 = 223417293163
BaseRepresentation
bin11110000111010…
…011101110111100
31022012200110110000
4132013103232330
52013314413231
6122044514300
715343255341
oct3607235674
91265613400
10505232316
1123a210576
1212124b990
1380897844
144b1587c8
152e54d6e6
hex1e1d3bbc

505232316 has 120 divisors (see below), whose sum is σ = 1447150320. Its totient is φ = 152990208.

The previous prime is 505232297. The next prime is 505232323. The reversal of 505232316 is 613232505.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 505232316.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158151 + ... + 161313.

It is an arithmetic number, because the mean of its divisors is an integer number (12059586).

Almost surely, 2505232316 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 505232316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723575160).

505232316 is an abundant number, since it is smaller than the sum of its proper divisors (941918004).

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

505232316 is a wasteful number, since it uses less digits than its factorization.

505232316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 505232316 is about 22477.3734230670. The cubic root of 505232316 is about 796.4595189402.

The spelling of 505232316 in words is "five hundred five million, two hundred thirty-two thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 29 34 36 51 54 58 68 81 87 102 108 116 153 162 174 204 261 306 324 348 459 493 522 612 783 918 986 1044 1377 1479 1566 1836 1972 2349 2754 2958 3132 3163 4437 4698 5508 5916 6326 8874 9396 9489 12652 13311 17748 18978 26622 28467 37956 39933 53244 53771 56934 79866 85401 91727 107542 113868 159732 161313 170802 183454 215084 256203 275181 322626 341604 366908 483939 512406 550362 645252 825543 967878 1024812 1100724 1451817 1559359 1651086 1935756 2476629 2903634 3118718 3302172 4355451 4678077 4953258 5807268 6237436 7429887 8710902 9356154 9906516 14034231 14859774 17421804 18712308 28068462 29719548 42102693 56136924 84205386 126308079 168410772 252616158 505232316