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452540565 = 32514967493
BaseRepresentation
bin11010111110010…
…011100010010101
31011112112102221200
4122332103202111
51411322244230
6112523303113
714133350151
oct3276234225
91145472850
10452540565
112124a1474
1210767aa99
13729a91a9
1444160061
1529ae1160
hex1af93895

452540565 has 24 divisors (see below), whose sum is σ = 789679800. Its totient is φ = 239731584.

The previous prime is 452540533. The next prime is 452540567. The reversal of 452540565 is 565045254.

452540565 is a `hidden beast` number, since 4 + 52 + 5 + 40 + 565 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53100369 + 399440196 = 7287^2 + 19986^2 .

It is not a de Polignac number, because 452540565 - 25 = 452540533 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452540567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27042 + ... + 40451.

It is an arithmetic number, because the mean of its divisors is an integer number (32903325).

Almost surely, 2452540565 is an apocalyptic number.

452540565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

452540565 is a deficient number, since it is larger than the sum of its proper divisors (337139235).

452540565 is a wasteful number, since it uses less digits than its factorization.

452540565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67653 (or 67650 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 452540565 is about 21273.0008461430. Note that the first 3 decimals coincide. The cubic root of 452540565 is about 767.7488446733.

Subtracting from 452540565 its sum of digits (36), we obtain a square (452540529 = 212732).

The spelling of 452540565 in words is "four hundred fifty-two million, five hundred forty thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 45 149 447 745 1341 2235 6705 67493 202479 337465 607437 1012395 3037185 10056457 30169371 50282285 90508113 150846855 452540565