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506022 = 231121741
BaseRepresentation
bin1111011100010100110
3221201010120
41323202212
5112143042
614502410
74205166
oct1734246
9851116
10506022
11316200
12204a06
1314942a
14d25a6
159edec
hex7b8a6

506022 has 48 divisors (see below), whose sum is σ = 1206576. Its totient is φ = 140800.

The previous prime is 505979. The next prime is 506047. The reversal of 506022 is 220605.

506022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 505992 and 506010.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12322 + ... + 12362.

It is an arithmetic number, because the mean of its divisors is an integer number (25137).

2506022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288).

506022 is an abundant number, since it is smaller than the sum of its proper divisors (700554).

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

506022 is a wasteful number, since it uses less digits than its factorization.

506022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 506022 is about 711.3522334259. The cubic root of 506022 is about 79.6874261437.

Adding to 506022 its reverse (220605), we get a palindrome (726627).

The spelling of 506022 in words is "five hundred six thousand, twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 121 123 187 242 246 363 374 451 561 697 726 902 1122 1353 1394 2057 2091 2706 4114 4182 4961 6171 7667 9922 12342 14883 15334 23001 29766 46002 84337 168674 253011 506022