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9048208 = 2413411061
BaseRepresentation
bin100010100001…
…000010010000
3122000200210211
4202201002100
54304020313
6521533504
7136623421
oct42410220
918020724
109048208
115120064
123044294
131b4a590
1412b7648
15bdae3d
hex8a1090

9048208 has 40 divisors (see below), whose sum is σ = 19358136. Its totient is φ = 4070400.

The previous prime is 9048197. The next prime is 9048209. The reversal of 9048208 is 8028409.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 9048064 = 12^2 + 3008^2 .

It is a super-2 number, since 2×90482082 = 163740136022528, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 9048208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9048209) 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, 7998 + ... + 9058.

Almost surely, 29048208 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 9048208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679068).

9048208 is an abundant number, since it is smaller than the sum of its proper divisors (10309928).

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

9048208 is a wasteful number, since it uses less digits than its factorization.

9048208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 9048208 is about 3008.0239360750. The cubic root of 9048208 is about 208.3791162670.

The spelling of 9048208 in words is "nine million, forty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 656 1061 1066 2122 2132 4244 4264 8488 8528 13793 16976 27586 43501 55172 87002 110344 174004 220688 348008 565513 696016 1131026 2262052 4524104 9048208