Search a number
-
+
505423500 = 22353595711
BaseRepresentation
bin11110001000000…
…010011010001100
31022020001011200220
4132020002122030
52013342023000
6122052551340
715345012621
oct3610023214
91266034626
10505423500
1123a33117a
12121322550
138093387a
144b1a8348
152e58a1a0
hex1e20268c

505423500 has 96 divisors (see below), whose sum is σ = 1497000960. Its totient is φ = 132472000.

The previous prime is 505423487. The next prime is 505423519. The reversal of 505423500 is 5324505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85645 + ... + 91355.

It is an arithmetic number, because the mean of its divisors is an integer number (15593760).

Almost surely, 2505423500 is an apocalyptic number.

505423500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505423500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

505423500 is an abundant number, since it is smaller than the sum of its proper divisors (991577460).

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

505423500 is a wasteful number, since it uses less digits than its factorization.

505423500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 505423500 is about 22481.6258308869. The cubic root of 505423500 is about 796.5599685150.

The spelling of 505423500 in words is "five hundred five million, four hundred twenty-three thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 125 150 177 236 250 295 300 354 375 500 590 708 750 885 1180 1475 1500 1770 2950 3540 4425 5711 5900 7375 8850 11422 14750 17133 17700 22125 22844 28555 29500 34266 44250 57110 68532 85665 88500 114220 142775 171330 285550 336949 342660 428325 571100 673898 713875 856650 1010847 1347796 1427750 1684745 1713300 2021694 2141625 2855500 3369490 4043388 4283250 5054235 6738980 8423725 8566500 10108470 16847450 20216940 25271175 33694900 42118625 50542350 84237250 101084700 126355875 168474500 252711750 505423500