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689847648 = 25372344633
BaseRepresentation
bin101001000111100…
…011110101100000
31210002001220001220
4221013203311200
52403100111043
6152241455040
723044415430
oct5107436540
91702056056
10689847648
11324445826
12173041480
13acbc6399
14678942c0
1540869483
hex291e3d60

689847648 has 96 divisors (see below), whose sum is σ = 2159571456. Its totient is φ = 188525568.

The previous prime is 689847643. The next prime is 689847659. The reversal of 689847648 is 846748986.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6898476482 = 951779554902263808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 689847591 and 689847600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689847643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6861 + ... + 37772.

It is an arithmetic number, because the mean of its divisors is an integer number (22495536).

Almost surely, 2689847648 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 689847648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079785728).

689847648 is an abundant number, since it is smaller than the sum of its proper divisors (1469723808).

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

689847648 is a wasteful number, since it uses less digits than its factorization.

689847648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44676 (or 44668 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 689847648 is about 26264.9509422729. The cubic root of 689847648 is about 883.5905504015.

The spelling of 689847648 in words is "six hundred eighty-nine million, eight hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 552 644 672 736 966 1104 1288 1932 2208 2576 3864 5152 7728 15456 44633 89266 133899 178532 267798 312431 357064 535596 624862 714128 937293 1026559 1071192 1249724 1428256 1874586 2053118 2142384 2499448 3079677 3749172 4106236 4284768 4998896 6159354 7185913 7498344 8212472 9997792 12318708 14371826 14996688 16424944 21557739 24637416 28743652 29993376 32849888 43115478 49274832 57487304 86230956 98549664 114974608 172461912 229949216 344923824 689847648