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535307305 = 513173713093
BaseRepresentation
bin11111111010000…
…010010000101001
31101022021102120111
4133322002100221
52044014313210
6125041254321
716160015461
oct3772022051
91338242514
10535307305
11255192335
1212b3343a1
1386b979b0
1451146ba1
1531ede88a
hex1fe82429

535307305 has 32 divisors (see below), whose sum is σ = 752328864. Its totient is φ = 361967616.

The previous prime is 535307293. The next prime is 535307323. The reversal of 535307305 is 503703535.

It can be written as a sum of positive squares in 16 ways, for example, as 1281424 + 534025881 = 1132^2 + 23109^2 .

It is a cyclic number.

It is not a de Polignac number, because 535307305 - 217 = 535176233 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34339 + ... + 47431.

It is an arithmetic number, because the mean of its divisors is an integer number (23510277).

Almost surely, 2535307305 is an apocalyptic number.

It is an amenable number.

535307305 is a deficient number, since it is larger than the sum of its proper divisors (217021559).

535307305 is a wasteful number, since it uses less digits than its factorization.

535307305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13165.

The product of its (nonzero) digits is 23625, while the sum is 31.

The square root of 535307305 is about 23136.7090356429. The cubic root of 535307305 is about 811.9595421170.

The spelling of 535307305 in words is "five hundred thirty-five million, three hundred seven thousand, three hundred five".

Divisors: 1 5 13 17 37 65 85 185 221 481 629 1105 2405 3145 8177 13093 40885 65465 170209 222581 484441 851045 1112905 2422205 2893553 6297733 8235497 14467765 31488665 41177485 107061461 535307305