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50505 = 3571337
BaseRepresentation
bin1100010101001001
32120021120
430111021
53104010
61025453
7300150
oct142511
976246
1050505
1134a44
1225289
1319cb0
1414597
15ee70
hexc549

50505 has 32 divisors (see below), whose sum is σ = 102144. Its totient is φ = 20736.

The previous prime is 50503. The next prime is 50513.

50505 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 50505 - 21 = 50503 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

50505 is an undulating number in base 10.

50505 is a modest number, since divided by 505 gives 5 as remainder.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (50503) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1347 + ... + 1383.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

250505 is an apocalyptic number.

It is an amenable number.

50505 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51072).

50505 is a wasteful number, since it uses less digits than its factorization.

50505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65.

The product of its (nonzero) digits is 125, while the sum is 15.

The square root of 50505 is about 224.7331751211. The cubic root of 50505 is about 36.9639288097.

It can be divided in two parts, 50 and 505, that added together give a palindrome (555).

The spelling of 50505 in words is "fifty thousand, five hundred five".

Divisors: 1 3 5 7 13 15 21 35 37 39 65 91 105 111 185 195 259 273 455 481 555 777 1295 1365 1443 2405 3367 3885 7215 10101 16835 50505