Search a number
-
+
8045472 = 253431949
BaseRepresentation
bin11110101100001110100000
3120010202022110
4132230032200
54024423342
6444235320
7125246121
oct36541640
916122273
108045472
1145a5756
12283bb40
131889046
1410d6048
15a8dc9c
hex7ac3a0

8045472 has 48 divisors (see below), whose sum is σ = 21621600. Its totient is φ = 2618112.

The previous prime is 8045447. The next prime is 8045483. The reversal of 8045472 is 2745408.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3154 + ... + 5102.

It is an arithmetic number, because the mean of its divisors is an integer number (450450).

Almost surely, 28045472 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 8045472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10810800).

8045472 is an abundant number, since it is smaller than the sum of its proper divisors (13576128).

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

8045472 is a wasteful number, since it uses less digits than its factorization.

8045472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 8045472 is about 2836.4541244307. The cubic root of 8045472 is about 200.3782176396.

The spelling of 8045472 in words is "eight million, forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1949 2064 3898 4128 5847 7796 11694 15592 23388 31184 46776 62368 83807 93552 167614 187104 251421 335228 502842 670456 1005684 1340912 2011368 2681824 4022736 8045472