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8063296 = 26192349
BaseRepresentation
bin11110110000100101000000
3120011122202121
4132300211000
54031011141
6444454024
7125352103
oct36604500
916148677
108063296
11460808a
12284a314
1318941a7
1410dc73a
15a941d1
hex7b0940

8063296 has 42 divisors (see below), whose sum is σ = 16935450. Its totient is φ = 3808512.

The previous prime is 8063269. The next prime is 8063309. The reversal of 8063296 is 6923608.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 577600 = 2736^2 + 760^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22930 + ... + 23278.

It is an arithmetic number, because the mean of its divisors is an integer number (403225).

Almost surely, 28063296 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 8063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467725).

8063296 is an abundant number, since it is smaller than the sum of its proper divisors (8872154).

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

8063296 is a wasteful number, since it uses less digits than its factorization.

8063296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 8063296 is about 2839.5943372249. The cubic root of 8063296 is about 200.5260816439.

The spelling of 8063296 in words is "eight million, sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 349 361 608 698 722 1216 1396 1444 2792 2888 5584 5776 6631 11168 11552 13262 22336 23104 26524 53048 106096 125989 212192 251978 424384 503956 1007912 2015824 4031648 8063296