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684009248 = 25132126481
BaseRepresentation
bin101000110001010…
…010011100100000
31202200002021021212
4220301102130200
52400101243443
6151512405252
722643661026
oct5061223440
91680067255
10684009248
113211182aa
121710a6828
13ab930b00
1466bb4716
15400b4618
hex28c52720

684009248 has 36 divisors (see below), whose sum is σ = 1458210978. Its totient is φ = 315694080.

The previous prime is 684009241. The next prime is 684009257. The reversal of 684009248 is 842900486.

It can be written as a sum of positive squares in 3 ways, for example, as 226562704 + 457446544 = 15052^2 + 21388^2 .

It is not an unprimeable number, because it can be changed into a prime (684009241) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 57833 + ... + 68648.

Almost surely, 2684009248 is an apocalyptic number.

It is an amenable number.

684009248 is an abundant number, since it is smaller than the sum of its proper divisors (774201730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

684009248 is a wasteful number, since it uses less digits than its factorization.

684009248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126517 (or 126496 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 684009248 is about 26153.5704637053. The cubic root of 684009248 is about 881.0907823751.

The spelling of 684009248 in words is "six hundred eighty-four million, nine thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 126481 252962 505924 1011848 1644253 2023696 3288506 4047392 6577012 13154024 21375289 26308048 42750578 52616096 85501156 171002312 342004624 684009248