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286894272 = 2637239281
BaseRepresentation
bin10001000110011…
…010100011000000
3201222211201221210
4101012122203000
51041421104042
644245050120
710052363310
oct2106324300
9658751853
10286894272
11137a42a05
12800b6940
134758c732
142a161440
151a2c0a9c
hex1119a8c0

286894272 has 112 divisors (see below), whose sum is σ = 905329152. Its totient is φ = 78397440.

The previous prime is 286894253. The next prime is 286894273. The reversal of 286894272 is 272498682.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (286894273) 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, 26272 + ... + 35552.

It is an arithmetic number, because the mean of its divisors is an integer number (8083296).

Almost surely, 2286894272 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 286894272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452664576).

286894272 is an abundant number, since it is smaller than the sum of its proper divisors (618434880).

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

286894272 is a wasteful number, since it uses less digits than its factorization.

286894272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9326 (or 9316 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 286894272 is about 16937.9535954022. The cubic root of 286894272 is about 659.5392192427.

The spelling of 286894272 in words is "two hundred eighty-six million, eight hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 9281 10304 15456 18562 27843 30912 37124 55686 64967 74248 111372 129934 148496 194901 213463 222744 259868 296992 389802 426926 445488 519736 593984 640389 779604 853852 890976 1039472 1280778 1494241 1559208 1707704 1781952 2078944 2561556 2988482 3118416 3415408 4157888 4482723 5123112 5976964 6236832 6830816 8965446 10246224 11953928 12473664 13661632 17930892 20492448 23907856 35861784 40984896 47815712 71723568 95631424 143447136 286894272