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8826216 = 2337107491
BaseRepresentation
bin100001101010…
…110101101000
3121121102021220
4201222311220
54224414331
6513102040
7135010260
oct41526550
917542256
108826216
114a892a3
122b57920
131aa0519
14125a7a0
15b95296
hex86ad68

8826216 has 64 divisors (see below), whose sum is σ = 25505280. Its totient is φ = 2493120.

The previous prime is 8826197. The next prime is 8826217. The reversal of 8826216 is 6126288.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8826217) 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 15 ways as a sum of consecutive naturals, for example, 17731 + ... + 18221.

It is an arithmetic number, because the mean of its divisors is an integer number (398520).

Almost surely, 28826216 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 8826216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12752640).

8826216 is an abundant number, since it is smaller than the sum of its proper divisors (16679064).

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

8826216 is a wasteful number, since it uses less digits than its factorization.

8826216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 610 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 8826216 is about 2970.8948146981. The cubic root of 8826216 is about 206.6608369265.

The spelling of 8826216 in words is "eight million, eight hundred twenty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 491 642 749 856 982 1284 1473 1498 1964 2247 2568 2946 2996 3437 3928 4494 5892 5992 6874 8988 10311 11784 13748 17976 20622 27496 41244 52537 82488 105074 157611 210148 315222 367759 420296 630444 735518 1103277 1260888 1471036 2206554 2942072 4413108 8826216