Search a number
-
+
505312542 = 232718122157
BaseRepresentation
bin11110000111100…
…111010100011110
31022012211112111100
4132013213110132
52013330000132
6122050333530
715344041260
oct3607472436
91265745440
10505312542
1123a265879
1212128a2a6
13808c5207
144b179b30
152e56737c
hex1e1e751e

505312542 has 48 divisors (see below), whose sum is σ = 1258219872. Its totient is φ = 143570880.

The previous prime is 505312537. The next prime is 505312567. The reversal of 505312542 is 245213505.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11728 + ... + 33884.

It is an arithmetic number, because the mean of its divisors is an integer number (26212914).

Almost surely, 2505312542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505312542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629109936).

505312542 is an abundant number, since it is smaller than the sum of its proper divisors (752907330).

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

505312542 is a wasteful number, since it uses less digits than its factorization.

505312542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22353 (or 22350 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 505312542 is about 22479.1579468627. The cubic root of 505312542 is about 796.5016733958.

The spelling of 505312542 in words is "five hundred five million, three hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 181 362 543 1086 1267 1629 2534 3258 3801 7602 11403 22157 22806 44314 66471 132942 155099 199413 310198 398826 465297 930594 1395891 2791782 4010417 8020834 12031251 24062502 28072919 36093753 56145838 72187506 84218757 168437514 252656271 505312542