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680583825 = 32523024817
BaseRepresentation
bin101000100100001…
…110001010010001
31202102122020111100
4220210032022101
52343212140300
6151311135013
722602603255
oct5044161221
91672566440
10680583825
1131a198779
1216bb14469
13ab00192c
1466562265
153eb39700
hex2890e291

680583825 has 18 divisors (see below), whose sum is σ = 1219001654. Its totient is φ = 362977920.

The previous prime is 680583811. The next prime is 680583859. The reversal of 680583825 is 528385086.

It is a happy number.

680583825 is a `hidden beast` number, since 68 + 0 + 583 + 8 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 81 + 680583744 = 9^2 + 26088^2 .

It is not a de Polignac number, because 680583825 - 27 = 680583697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1512184 + ... + 1512633.

Almost surely, 2680583825 is an apocalyptic number.

It is an amenable number.

680583825 is a deficient number, since it is larger than the sum of its proper divisors (538417829).

680583825 is a wasteful number, since it uses less digits than its factorization.

680583825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024833 (or 3024825 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 680583825 is about 26088.0015524379. The cubic root of 680583825 is about 879.6175270584.

The spelling of 680583825 in words is "six hundred eighty million, five hundred eighty-three thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 3024817 9074451 15124085 27223353 45372255 75620425 136116765 226861275 680583825