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286884096 = 283973851
BaseRepresentation
bin10001000110011…
…000000100000000
3201222211012222220
4101012120010000
51041420242341
644244531040
710052321532
oct2106300400
9658735886
10286884096
11137a362a4
12800b0a80
1347587c05
142a15b852
151a2bca66
hex11198100

286884096 has 72 divisors (see below), whose sum is σ = 771601824. Its totient is φ = 94617600.

The previous prime is 286884079. The next prime is 286884119. The reversal of 286884096 is 690488682.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72571 + ... + 76421.

It is an arithmetic number, because the mean of its divisors is an integer number (10716692).

Almost surely, 2286884096 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 286884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385800912).

286884096 is an abundant number, since it is smaller than the sum of its proper divisors (484717728).

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

286884096 is an equidigital number, since it uses as much as digits as its factorization.

286884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 286884096 is about 16937.6532022592. The cubic root of 286884096 is about 659.5314213056.

The spelling of 286884096 in words is "two hundred eighty-six million, eight hundred eighty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 582 768 776 1164 1552 2328 3104 3851 4656 6208 7702 9312 11553 12416 15404 18624 23106 24832 30808 37248 46212 61616 74496 92424 123232 184848 246464 369696 373547 492928 739392 747094 985856 1120641 1478784 1494188 2241282 2957568 2988376 4482564 5976752 8965128 11953504 17930256 23907008 35860512 47814016 71721024 95628032 143442048 286884096