Search a number
-
+
8200008 = 233337963
BaseRepresentation
bin11111010001111101001000
3120102121022000
4133101331020
54044400013
6451431000
7126461505
oct37217510
916377260
108200008
1146a0873
1228b5460
13191149b
1411364ac
15abe973
hex7d1f48

8200008 has 32 divisors (see below), whose sum is σ = 22778400. Its totient is φ = 2733264.

The previous prime is 8200007. The next prime is 8200013. The reversal of 8200008 is 8000028.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8200007) 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 7 ways as a sum of consecutive naturals, for example, 18766 + ... + 19197.

It is an arithmetic number, because the mean of its divisors is an integer number (711825).

Almost surely, 28200008 is an apocalyptic number.

It is an amenable number.

8200008 is an abundant number, since it is smaller than the sum of its proper divisors (14578392).

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

8200008 is a wasteful number, since it uses less digits than its factorization.

8200008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37978 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8200008 is about 2863.5656095155. The cubic root of 8200008 is about 201.6530331000.

The spelling of 8200008 in words is "eight million, two hundred thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 37963 75926 113889 151852 227778 303704 341667 455556 683334 911112 1025001 1366668 2050002 2733336 4100004 8200008