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5221008 = 2432132789
BaseRepresentation
bin10011111010101010010000
3100211020212200
4103322222100
52314033013
6303523200
762243412
oct23725220
910736780
105221008
112a46691
1218b9500
13110a570
1499c9b2
156d1e73
hex4faa90

5221008 has 60 divisors (see below), whose sum is σ = 15741180. Its totient is φ = 1605888.

The previous prime is 5221003. The next prime is 5221009. The reversal of 5221008 is 8001225.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 3283344 = 1392^2 + 1812^2 .

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 (5221001) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 478 + ... + 3266.

It is an arithmetic number, because the mean of its divisors is an integer number (262353).

Almost surely, 25221008 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 5221008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870590).

5221008 is an abundant number, since it is smaller than the sum of its proper divisors (10520172).

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

5221008 is a wasteful number, since it uses less digits than its factorization.

5221008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2816 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 5221008 is about 2284.9525159180. The cubic root of 5221008 is about 173.4808146503.

The spelling of 5221008 in words is "five million, two hundred twenty-one thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 2789 5578 8367 11156 16734 22312 25101 33468 36257 44624 50202 66936 72514 100404 108771 133872 145028 200808 217542 290056 326313 401616 435084 580112 652626 870168 1305252 1740336 2610504 5221008