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465705045 = 34513197449
BaseRepresentation
bin11011110000100…
…001100001010101
31012110022021020000
4123300201201111
51423210030140
6114113401513
714353266441
oct3360414125
91173267200
10465705045
11219973103
1210bb69299
1375638220
1445bc9821
152ad41a30
hex1bc21855

465705045 has 80 divisors (see below), whose sum is σ = 905612400. Its totient is φ = 227598336.

The previous prime is 465705043. The next prime is 465705061. The reversal of 465705045 is 540507564.

It is a happy number.

465705045 is a `hidden beast` number, since 46 + 570 + 5 + 0 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5731236 + 459973809 = 2394^2 + 21447^2 .

It is not a de Polignac number, because 465705045 - 21 = 465705043 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465705043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1036981 + ... + 1037429.

It is an arithmetic number, because the mean of its divisors is an integer number (11320155).

Almost surely, 2465705045 is an apocalyptic number.

465705045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

465705045 is a deficient number, since it is larger than the sum of its proper divisors (439907355).

465705045 is a wasteful number, since it uses less digits than its factorization.

465705045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 465705045 is about 21580.2003002753. The cubic root of 465705045 is about 775.1224475274.

It can be divided in two parts, 46570 and 5045, that added together give a palindrome (51615).

The spelling of 465705045 in words is "four hundred sixty-five million, seven hundred five thousand, forty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 197 351 405 449 585 591 985 1053 1347 1755 1773 2245 2561 2955 4041 5265 5319 5837 6735 7683 8865 12123 12805 15957 17511 20205 23049 26595 29185 36369 38415 52533 60615 69147 79785 87555 88453 115245 157599 181845 207441 262665 265359 345735 442265 472797 787995 796077 1037205 1149889 1326795 2363985 2388231 3449667 3980385 5749445 7164693 10349001 11941155 17248335 31047003 35823465 51745005 93141009 155235015 465705045