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682583880 = 2335112322483
BaseRepresentation
bin101000101011110…
…110011101001000
31202120101212001110
4220223312131020
52344220141010
6151422050320
722625603316
oct5053663510
91676355043
10682583880
11320334410
121707199a0
13ab5520b4
14669230b6
153edd2120
hex28af6748

682583880 has 128 divisors (see below), whose sum is σ = 2331141120. Its totient is φ = 158273280.

The previous prime is 682583851. The next prime is 682583887. The reversal of 682583880 is 88385286.

682583880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (682583887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19119 + ... + 41601.

It is an arithmetic number, because the mean of its divisors is an integer number (18212040).

Almost surely, 2682583880 is an apocalyptic number.

682583880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682583880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165570560).

682583880 is an abundant number, since it is smaller than the sum of its proper divisors (1648557240).

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

682583880 is a wasteful number, since it uses less digits than its factorization.

682583880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22531 (or 22527 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 682583880 is about 26126.3062831316. The cubic root of 682583880 is about 880.4783384290.

The spelling of 682583880 in words is "six hundred eighty-two million, five hundred eighty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 22483 30360 44966 67449 89932 112415 134898 179864 224830 247313 269796 337245 449660 494626 517109 539592 674490 741939 899320 989252 1034218 1236565 1348980 1483878 1551327 1978504 2068436 2473130 2585545 2697960 2967756 3102654 3709695 4136872 4946260 5171090 5688199 5935512 6205308 7419390 7756635 9892520 10342180 11376398 12410616 14838780 15513270 17064597 20684360 22752796 28440995 29677560 31026540 34129194 45505592 56881990 62053080 68258388 85322985 113763980 136516776 170645970 227527960 341291940 682583880