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505441050 = 235231731489
BaseRepresentation
bin11110001000000…
…110101100011010
31022020002001202220
4132020012230122
52013343103200
6122053204510
715345115032
oct3610065432
91266061686
10505441050
1123a343384
12121330736
138093b85a
144b1b08c2
152e5904a0
hex1e206b1a

505441050 has 96 divisors (see below), whose sum is σ = 1312535040. Its totient is φ = 128563200.

The previous prime is 505441043. The next prime is 505441051. The reversal of 505441050 is 50144505.

It is a self number, because there is not a number n which added to its sum of digits gives 505441050.

It is not an unprimeable number, because it can be changed into a prime (505441051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338706 + ... + 340194.

It is an arithmetic number, because the mean of its divisors is an integer number (13672240).

Almost surely, 2505441050 is an apocalyptic number.

505441050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 505441050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656267520).

505441050 is an abundant number, since it is smaller than the sum of its proper divisors (807093990).

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

505441050 is a wasteful number, since it uses less digits than its factorization.

505441050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 505441050 is about 22482.0161462445. The cubic root of 505441050 is about 796.5691881534.

Adding to 505441050 its reverse (50144505), we get a palindrome (555585555).

The spelling of 505441050 in words is "five hundred five million, four hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 50 62 73 75 93 146 150 155 186 219 310 365 438 465 730 775 930 1095 1489 1550 1825 2190 2263 2325 2978 3650 4467 4526 4650 5475 6789 7445 8934 10950 11315 13578 14890 22335 22630 33945 37225 44670 46159 56575 67890 74450 92318 108697 111675 113150 138477 169725 217394 223350 230795 276954 326091 339450 461590 543485 652182 692385 1086970 1153975 1384770 1630455 2307950 2717425 3260910 3369607 3461925 5434850 6739214 6923850 8152275 10108821 16304550 16848035 20217642 33696070 50544105 84240175 101088210 168480350 252720525 505441050