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684025472 = 27132103307
BaseRepresentation
bin101000110001010…
…110011010000000
31202200010002112202
4220301112122000
52400102303342
6151513012332
722644056234
oct5061263200
91680102482
10684025472
11321129509
121710b40a8
13ab938300
1466bba5c4
15400b9332
hex28c56680

684025472 has 96 divisors (see below), whose sum is σ = 1494773280. Its totient is φ = 311620608.

The previous prime is 684025457. The next prime is 684025477. The reversal of 684025472 is 274520486.

It is not an unprimeable number, because it can be changed into a prime (684025477) 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 11 ways as a sum of consecutive naturals, for example, 2227943 + ... + 2228249.

It is an arithmetic number, because the mean of its divisors is an integer number (15570555).

Almost surely, 2684025472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 684025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747386640).

684025472 is an abundant number, since it is smaller than the sum of its proper divisors (810747808).

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

684025472 is a wasteful number, since it uses less digits than its factorization.

684025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 684025472 is about 26153.8806298415. The cubic root of 684025472 is about 881.0977485109.

The spelling of 684025472 in words is "six hundred eighty-four million, twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 128 169 206 208 307 338 412 416 614 676 824 832 1228 1339 1352 1648 1664 2456 2678 2704 3296 3991 4912 5356 5408 6592 7982 9824 10712 10816 13184 15964 17407 19648 21424 21632 31621 31928 34814 39296 42848 51883 63242 63856 69628 85696 103766 126484 127712 139256 171392 207532 252968 255424 278512 411073 415064 505936 510848 557024 822146 830128 1011872 1114048 1644292 1660256 2023744 2228096 3288584 3320512 4047488 5343949 6577168 6641024 10687898 13154336 21375796 26308672 42751592 52617344 85503184 171006368 342012736 684025472