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8444064 = 25387959
BaseRepresentation
bin100000001101…
…100010100000
3120220000002010
4200031202200
54130202224
6500552520
7131526156
oct40154240
916800063
108444064
114848172
1229b2740
1319985b5
14119b3d6
15b1be29
hex80d8a0

8444064 has 24 divisors (see below), whose sum is σ = 22165920. Its totient is φ = 2814656.

The previous prime is 8444063. The next prime is 8444083. The reversal of 8444064 is 4604448.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (8444063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 43884 + ... + 44075.

It is an arithmetic number, because the mean of its divisors is an integer number (923580).

Almost surely, 28444064 is an apocalyptic number.

It is an amenable number.

8444064 is an abundant number, since it is smaller than the sum of its proper divisors (13721856).

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

8444064 is a wasteful number, since it uses less digits than its factorization.

8444064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87972 (or 87964 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 8444064 is about 2905.8671683337. The cubic root of 8444064 is about 203.6340999671.

The spelling of 8444064 in words is "eight million, four hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 87959 175918 263877 351836 527754 703672 1055508 1407344 2111016 2814688 4222032 8444064