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585264745 = 5132692621
BaseRepresentation
bin100010111000100…
…110111001101001
31111210021112022001
4202320212321221
52144311432440
6134024131001
720334445132
oct4270467151
91453245261
10585264745
1128040407a
12144006a61
1394339900
1457a2cc89
15365abb9a
hex22e26e69

585264745 has 12 divisors (see below), whose sum is σ = 760498956. Its totient is φ = 432194880.

The previous prime is 585264731. The next prime is 585264773. The reversal of 585264745 is 547462585.

585264745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 11758041 + 573506704 = 3429^2 + 23948^2 .

It is not a de Polignac number, because 585264745 - 223 = 576876137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 585264695 and 585264704.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345466 + ... + 347155.

It is an arithmetic number, because the mean of its divisors is an integer number (63374913).

Almost surely, 2585264745 is an apocalyptic number.

It is an amenable number.

585264745 is a deficient number, since it is larger than the sum of its proper divisors (175234211).

585264745 is a wasteful number, since it uses less digits than its factorization.

585264745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692652 (or 692639 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 46.

The square root of 585264745 is about 24192.2455551361. The cubic root of 585264745 is about 836.4708058505.

The spelling of 585264745 in words is "five hundred eighty-five million, two hundred sixty-four thousand, seven hundred forty-five".

Divisors: 1 5 13 65 169 845 692621 3463105 9004073 45020365 117052949 585264745