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8468224 = 28191741
BaseRepresentation
bin100000010011…
…011100000000
3120221020012221
4200103130000
54131440344
6501300424
7131656462
oct40233400
916836187
108468224
114864336
122a04714
1319a65ab
1411a6132
15b24184
hex813700

8468224 has 36 divisors (see below), whose sum is σ = 17803240. Its totient is φ = 4008960.

The previous prime is 8468221. The next prime is 8468237. The reversal of 8468224 is 4228648.

It is a d-powerful number, because it can be written as 82 + 43 + 66 + 82 + 214 + 223 + 47 .

It is a self number, because there is not a number n which added to its sum of digits gives 8468224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8468221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3994 + ... + 5734.

Almost surely, 28468224 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 8468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8901620).

8468224 is an abundant number, since it is smaller than the sum of its proper divisors (9335016).

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

8468224 is a wasteful number, since it uses less digits than its factorization.

8468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1762 counting only the distinct ones).

The product of its digits is 24576, while the sum is 34.

The square root of 8468224 is about 2910.0213057639. The cubic root of 8468224 is about 203.8281264119.

The spelling of 8468224 in words is "eight million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 608 1216 1741 2432 3482 4864 6964 13928 27856 33079 55712 66158 111424 132316 222848 264632 445696 529264 1058528 2117056 4234112 8468224