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500216320 = 295375281
BaseRepresentation
bin11101110100001…
…011001000000000
31021212020121210101
4131310023020000
52011023410240
6121345212144
715252524422
oct3564131000
91255217711
10500216320
112373a4a1a
1211b631054
137c82c6b6
144a610812
152ddac39a
hex1dd0b200

500216320 has 80 divisors (see below), whose sum is σ = 1231994808. Its totient is φ = 194641920.

The previous prime is 500216303. The next prime is 500216399. The reversal of 500216320 is 23612005.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 408363264 + 91853056 = 20208^2 + 9584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 92080 + ... + 97360.

Almost surely, 2500216320 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 500216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615997404).

500216320 is an abundant number, since it is smaller than the sum of its proper divisors (731778488).

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

500216320 is an equidigital number, since it uses as much as digits as its factorization.

500216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5341 (or 5325 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 500216320 is about 22365.5163141833. The cubic root of 500216320 is about 793.8149716796.

Adding to 500216320 its reverse (23612005), we get a palindrome (523828325).

It can be divided in two parts, 500 and 216320, that multiplied together give a square (108160000 = 104002).

The spelling of 500216320 in words is "five hundred million, two hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1184 1280 1480 2368 2560 2960 4736 5281 5920 9472 10562 11840 18944 21124 23680 26405 42248 47360 52810 84496 94720 105620 168992 195397 211240 337984 390794 422480 675968 781588 844960 976985 1351936 1563176 1689920 1953970 2703872 3126352 3379840 3907940 6252704 6759680 7815880 12505408 13519360 15631760 25010816 31263520 50021632 62527040 100043264 125054080 250108160 500216320