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82857270 = 235233227
BaseRepresentation
bin1001111000001…
…00110100110110
312202220120210210
410330010310312
5132202413040
612115530250
72024163246
oct474046466
9182816723
1082857270
1142852991
12238b9986
1314220a92
14b00bb26
15741a480
hex4f04d36

82857270 has 64 divisors (see below), whose sum is σ = 208811520. Its totient is φ = 21041504.

The previous prime is 82857253. The next prime is 82857277. The reversal of 82857270 is 7275828.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82857277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364897 + ... + 365123.

It is an arithmetic number, because the mean of its divisors is an integer number (3262680).

Almost surely, 282857270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82857270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104405760).

82857270 is an abundant number, since it is smaller than the sum of its proper divisors (125954250).

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

82857270 is a wasteful number, since it uses less digits than its factorization.

82857270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 82857270 is about 9102.5968822089. The cubic root of 82857270 is about 435.9568841858.

The spelling of 82857270 in words is "eighty-two million, eight hundred fifty-seven thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 227 230 345 454 529 681 690 1058 1135 1362 1587 2270 2645 3174 3405 5221 5290 6810 7935 10442 12167 15663 15870 24334 26105 31326 36501 52210 60835 73002 78315 120083 121670 156630 182505 240166 360249 365010 600415 720498 1200830 1801245 2761909 3602490 5523818 8285727 13809545 16571454 27619090 41428635 82857270