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505312245 = 325313591009
BaseRepresentation
bin11110000111100…
…111001111110101
31022012211112002100
4132013213033311
52013324442440
6122050332313
715344040354
oct3607471765
91265745070
10505312245
1123a265629
1212128a099
13808c5039
144b17999b
152e567230
hex1e1e73f5

505312245 has 48 divisors (see below), whose sum is σ = 907545600. Its totient is φ = 259822080.

The previous prime is 505312243. The next prime is 505312253. The reversal of 505312245 is 542213505.

It is a happy number.

It is not a de Polignac number, because 505312245 - 21 = 505312243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505312243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500301 + ... + 501309.

It is an arithmetic number, because the mean of its divisors is an integer number (18907200).

Almost surely, 2505312245 is an apocalyptic number.

It is an amenable number.

505312245 is a deficient number, since it is larger than the sum of its proper divisors (402233355).

505312245 is a wasteful number, since it uses less digits than its factorization.

505312245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1407 counting only the distinct ones).

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

The square root of 505312245 is about 22479.1513407424. The cubic root of 505312245 is about 796.5015173464.

The spelling of 505312245 in words is "five hundred five million, three hundred twelve thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 359 465 1009 1077 1395 1795 3027 3231 5045 5385 9081 11129 15135 16155 31279 33387 45405 55645 93837 100161 156395 166935 281511 362231 469185 500805 1086693 1407555 1811155 3260079 5433465 11229161 16300395 33687483 56145805 101062449 168437415 505312245