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4096064 = 26741223
BaseRepresentation
bin1111101000000001000000
321201002202002
433220001000
52022033224
6223443132
746546610
oct17500100
97632662
104096064
112348485
1214564a8
13b0550b
14788a40
1555d9ae
hex3e8040

4096064 has 56 divisors (see below), whose sum is σ = 9558528. Its totient is φ = 1704960.

The previous prime is 4096049. The next prime is 4096073. The reversal of 4096064 is 4606904.

4096064 is nontrivially palindromic in base 13.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent 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, 18257 + ... + 18479.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 24096064 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 4096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4779264).

4096064 is an abundant number, since it is smaller than the sum of its proper divisors (5462464).

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

4096064 is a wasteful number, since it uses less digits than its factorization.

4096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 4096064 is about 2023.8735138343. The cubic root of 4096064 is about 160.0008333290. Note that the first 3 decimals are identical.

The spelling of 4096064 in words is "four million, ninety-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 223 224 287 328 446 448 574 656 892 1148 1312 1561 1784 2296 2624 3122 3568 4592 6244 7136 9143 9184 12488 14272 18286 18368 24976 36572 49952 64001 73144 99904 128002 146288 256004 292576 512008 585152 1024016 2048032 4096064