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8225376 = 253471823
BaseRepresentation
bin11111011000001001100000
3120110220002120
4133120021200
54101203001
6452144240
7126625455
oct37301140
916426076
108225376
114708935
122908080
13191cbb3
14114182c
15ac7236
hex7d8260

8225376 has 48 divisors (see below), whose sum is σ = 22063104. Its totient is φ = 2681984.

The previous prime is 8225351. The next prime is 8225377. The reversal of 8225376 is 6735228.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8225377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3601 + ... + 5423.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 28225376 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 8225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

8225376 is an abundant number, since it is smaller than the sum of its proper divisors (13837728).

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

8225376 is a wasteful number, since it uses less digits than its factorization.

8225376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 8225376 is about 2867.9916317870. The cubic root of 8225376 is about 201.8607673672.

The spelling of 8225376 in words is "eight million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 1823 2256 3646 4512 5469 7292 10938 14584 21876 29168 43752 58336 85681 87504 171362 175008 257043 342724 514086 685448 1028172 1370896 2056344 2741792 4112688 8225376