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84866848 = 2511353683
BaseRepresentation
bin1010000111011…
…11011100100000
312220200200102121
411003233130200
5133211214343
612230554024
72050233133
oct503573440
9186620377
1084866848
11439a57a0
1224508914
1314775691
14b3b221a
1576b5aed
hex50ef720

84866848 has 48 divisors (see below), whose sum is σ = 183054816. Its totient is φ = 38410240.

The previous prime is 84866827. The next prime is 84866851.

84866848 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 84866795 and 84866804.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 123915 + ... + 124597.

It is an arithmetic number, because the mean of its divisors is an integer number (3813642).

Almost surely, 284866848 is an apocalyptic number.

84866848 is a gapful number since it is divisible by the number (88) 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 84866848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91527408).

84866848 is an abundant number, since it is smaller than the sum of its proper divisors (98187968).

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

84866848 is a wasteful number, since it uses less digits than its factorization.

84866848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1049 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 52.

The square root of 84866848 is about 9212.3204460114. The cubic root of 84866848 is about 439.4532603019.

The spelling of 84866848 in words is "eighty-four million, eight hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 353 683 706 1366 1412 2732 2824 3883 5464 5648 7513 7766 10928 11296 15026 15532 21856 30052 31064 60104 62128 120208 124256 240416 241099 482198 964396 1928792 2652089 3857584 5304178 7715168 10608356 21216712 42433424 84866848