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9084064 = 2511131197
BaseRepresentation
bin100010101001…
…110010100000
3122002111222211
4202221302200
54311142224
6522411504
7140133103
oct42516240
918074884
109084064
115144aa0
123060b94
131b609b2
1412c673a
15be6894
hex8a9ca0

9084064 has 48 divisors (see below), whose sum is σ = 19758816. Its totient is φ = 4076800.

The previous prime is 9084043. The next prime is 9084073. The reversal of 9084064 is 4604809.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46014 + ... + 46210.

It is an arithmetic number, because the mean of its divisors is an integer number (411642).

Almost surely, 29084064 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 9084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879408).

9084064 is an abundant number, since it is smaller than the sum of its proper divisors (10674752).

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

9084064 is a wasteful number, since it uses less digits than its factorization.

9084064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 9084064 is about 3013.9781021102. The cubic root of 9084064 is about 208.6540065653.

The spelling of 9084064 in words is "nine million, eighty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 197 262 352 394 524 788 1048 1441 1576 2096 2167 2882 3152 4192 4334 5764 6304 8668 11528 17336 23056 25807 34672 46112 51614 69344 103228 206456 283877 412912 567754 825824 1135508 2271016 4542032 9084064