Search a number
-
+
50020 = 2254161
BaseRepresentation
bin1100001101100100
32112121121
430031210
53100040
61023324
7265555
oct141544
975547
1050020
1134643
1224b44
13199c9
141432c
15ec4a
hexc364

50020 has 24 divisors (see below), whose sum is σ = 109368. Its totient is φ = 19200.

The previous prime is 49999. The next prime is 50021. The reversal of 50020 is 2005.

50020 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 3364 + 46656 = 58^2 + 216^2 .

It is a sliding number, since 50020 = 20 + 50000 and 1/20 + 1/50000 = 0.050020.

It is a junction number, because it is equal to n+sod(n) for n = 49985 and 50012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50021) by changing a digit.

50020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790 + ... + 850.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

250020 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 50020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

50020 is an abundant number, since it is smaller than the sum of its proper divisors (59348).

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

50020 is a wasteful number, since it uses less digits than its factorization.

50020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 7.

The square root of 50020 is about 223.6515146383. The cubic root of 50020 is about 36.8452263736.

Adding to 50020 its reverse (2005), we get a palindrome (52025).

It can be divided in two parts, 500 and 20, that multiplied together give a 4-th power (10000 = 104).

The spelling of 50020 in words is "fifty thousand, twenty".

Divisors: 1 2 4 5 10 20 41 61 82 122 164 205 244 305 410 610 820 1220 2501 5002 10004 12505 25010 50020