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505312059 = 37431273
BaseRepresentation
bin11110000111100…
…111001100111011
31022012211111211110
4132013213030323
52013324441214
6122050331403
715344040000
oct3607471473
91265744743
10505312059
1123a26547a
12121289b63
13808c4c25
144b1798a7
152e567159
hex1e1e733b

505312059 has 60 divisors (see below), whose sum is σ = 823292328. Its totient is φ = 275607360.

The previous prime is 505312039. The next prime is 505312069. The reversal of 505312059 is 950213505.

It is not a de Polignac number, because 505312059 - 28 = 505311803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505312039) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6922047 + ... + 6922119.

Almost surely, 2505312059 is an apocalyptic number.

505312059 is a deficient number, since it is larger than the sum of its proper divisors (317980269).

505312059 is an frugal number, since it uses more digits than its factorization.

505312059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

The square root of 505312059 is about 22479.1472035751. The cubic root of 505312059 is about 796.5014196185.

The spelling of 505312059 in words is "five hundred five million, three hundred twelve thousand, fifty-nine".

Divisors: 1 3 7 21 31 49 73 93 147 217 219 343 511 651 961 1029 1519 1533 2263 2401 2883 3577 4557 6727 6789 7203 10633 10731 15841 20181 25039 31899 47089 47523 70153 74431 75117 110887 141267 175273 210459 223293 329623 332661 491071 525819 776209 988869 1473213 2307361 2328627 3437497 5433463 6922083 10312491 16300389 24062479 72187437 168437353 505312059