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212793282 = 232132513623
BaseRepresentation
bin11001010111011…
…11011111000010
3112211102000111200
430223233133002
5413433341112
633040522030
75162466402
oct1453573702
9484360450
10212793282
11aa130819
125b320316
13351163b0
1420392802
1513a34cdc
hexcaef7c2

212793282 has 48 divisors (see below), whose sum is σ = 498633408. Its totient is φ = 65196000.

The previous prime is 212793241. The next prime is 212793311. The reversal of 212793282 is 282397212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56923 + ... + 60545.

It is an arithmetic number, because the mean of its divisors is an integer number (10388196).

Almost surely, 2212793282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212793282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249316704).

212793282 is an abundant number, since it is smaller than the sum of its proper divisors (285840126).

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

212793282 is a wasteful number, since it uses less digits than its factorization.

212793282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3892 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 212793282 is about 14587.4357582133. The cubic root of 212793282 is about 597.0160008506.

The spelling of 212793282 in words is "two hundred twelve million, seven hundred ninety-three thousand, two hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 251 502 753 1506 2259 3263 3623 4518 6526 7246 9789 10869 19578 21738 29367 32607 47099 58734 65214 94198 141297 282594 423891 847782 909373 1818746 2728119 5456238 8184357 11821849 16368714 23643698 35465547 70931094 106396641 212793282