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50380200 = 233252132153
BaseRepresentation
bin1100000000101…
…1110110101000
310111210120122100
43000023312220
5100344131300
64555453400
71151140023
oct300136650
9114716570
1050380200
1126490432
1214a57260
13a58c490
1469961ba
154652700
hex300bda8

50380200 has 144 divisors (see below), whose sum is σ = 182293020. Its totient is φ = 12395520.

The previous prime is 50380139. The next prime is 50380207. The reversal of 50380200 is 208305.

It can be written as a sum of positive squares in 6 ways, for example, as 1855044 + 48525156 = 1362^2 + 6966^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (50380207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 22324 + ... + 24476.

Almost surely, 250380200 is an apocalyptic number.

50380200 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 50380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91146510).

50380200 is an abundant number, since it is smaller than the sum of its proper divisors (131912820).

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

50380200 is a wasteful number, since it uses less digits than its factorization.

50380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 50380200 is about 7097.9010982121. The cubic root of 50380200 is about 369.3345721770.

Adding to 50380200 its reverse (208305), we get a palindrome (50588505).

The spelling of 50380200 in words is "fifty million, three hundred eighty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2153 2340 2600 2925 3900 4306 4680 5850 6459 7800 8612 10765 11700 12918 17224 19377 21530 23400 25836 27989 32295 38754 43060 51672 53825 55978 64590 77508 83967 86120 96885 107650 111956 129180 139945 155016 161475 167934 193770 215300 223912 251901 258360 279890 322950 335868 387540 419835 430600 484425 503802 559780 645900 671736 699725 775080 839670 968850 1007604 1119560 1259505 1291800 1399450 1679340 1937700 2015208 2099175 2519010 2798900 3358680 3875400 4198350 5038020 5597800 6297525 8396700 10076040 12595050 16793400 25190100 50380200