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8025808 = 247229353
BaseRepresentation
bin11110100111011011010000
3120002202100011
4132213123100
54023311213
6444004304
7125134600
oct36473320
916082304
108025808
1145919aa
122830694
1318800cb
1410ccc00
15a8803d
hex7a76d0

8025808 has 60 divisors (see below), whose sum is σ = 18765540. Its totient is φ = 3311616.

The previous prime is 8025803. The next prime is 8025881. The reversal of 8025808 is 8085208.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 4293184 = 1932^2 + 2072^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8025808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8025803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22560 + ... + 22912.

It is an arithmetic number, because the mean of its divisors is an integer number (312759).

Almost surely, 28025808 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 8025808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9382770).

8025808 is an abundant number, since it is smaller than the sum of its proper divisors (10739732).

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

8025808 is a wasteful number, since it uses less digits than its factorization.

8025808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 31.

The square root of 8025808 is about 2832.9857041644. The cubic root of 8025808 is about 200.2148358119.

The spelling of 8025808 in words is "eight million, twenty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 353 392 406 464 706 784 812 1412 1421 1624 2471 2824 2842 3248 4942 5648 5684 9884 10237 11368 17297 19768 20474 22736 34594 39536 40948 69188 71659 81896 138376 143318 163792 276752 286636 501613 573272 1003226 1146544 2006452 4012904 8025808