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8045064 = 2332293853
BaseRepresentation
bin11110101100001000001000
3120010201202100
4132230020020
54024420224
6444233400
7125244666
oct36541010
916121670
108045064
1145a5415
12283b860
131888ac1
1410d5c36
15a8dac9
hex7ac208

8045064 has 48 divisors (see below), whose sum is σ = 22545900. Its totient is φ = 2588544.

The previous prime is 8045053. The next prime is 8045071. The reversal of 8045064 is 4605408.

It can be written as a sum of positive squares in 2 ways, for example, as 7064964 + 980100 = 2658^2 + 990^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162 + ... + 4014.

Almost surely, 28045064 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 8045064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11272950).

8045064 is an abundant number, since it is smaller than the sum of its proper divisors (14500836).

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

8045064 is a wasteful number, since it uses less digits than its factorization.

8045064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8045064 is about 2836.3822027364. The cubic root of 8045064 is about 200.3748304053.

The spelling of 8045064 in words is "eight million, forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 3853 7706 11559 15412 23118 30824 34677 46236 69354 92472 111737 138708 223474 277416 335211 446948 670422 893896 1005633 1340844 2011266 2681688 4022532 8045064