Search a number
-
+
508862340 = 2232572511609
BaseRepresentation
bin11110010101001…
…001111110000100
31022110111212220100
4132111021332010
52020232043330
6122254404100
715416154450
oct3625117604
91273455810
10508862340
1124126a898
12122500630
1381568b9c
144b821660
152ea19060
hex1e549f84

508862340 has 144 divisors (see below), whose sum is σ = 1772184960. Its totient is φ = 115776000.

The previous prime is 508862339. The next prime is 508862353. The reversal of 508862340 is 43268805.

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

It is a junction number, because it is equal to n+sod(n) for n = 508862295 and 508862304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315456 + ... + 317064.

It is an arithmetic number, because the mean of its divisors is an integer number (12306840).

Almost surely, 2508862340 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 508862340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886092480).

508862340 is an abundant number, since it is smaller than the sum of its proper divisors (1263322620).

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

508862340 is a wasteful number, since it uses less digits than its factorization.

508862340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 508862340 is about 22557.9773029410. The cubic root of 508862340 is about 798.3624524178.

The spelling of 508862340 in words is "five hundred eight million, eight hundred sixty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 251 252 315 420 502 630 753 1004 1255 1260 1506 1609 1757 2259 2510 3012 3218 3514 3765 4518 4827 5020 5271 6436 7028 7530 8045 8785 9036 9654 10542 11263 11295 14481 15060 15813 16090 17570 19308 21084 22526 22590 24135 26355 28962 31626 32180 33789 35140 45052 45180 48270 52710 56315 57924 63252 67578 72405 79065 96540 101367 105420 112630 135156 144810 158130 168945 202734 225260 289620 316260 337890 403859 405468 506835 675780 807718 1013670 1211577 1615436 2019295 2027340 2423154 2827013 3634731 4038590 4846308 5654026 6057885 7269462 8077180 8481039 11308052 12115770 14135065 14538924 16962078 18173655 24231540 25443117 28270130 33924156 36347310 42405195 50886234 56540260 72694620 84810390 101772468 127215585 169620780 254431170 508862340