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8673228 = 2232892707
BaseRepresentation
bin100001000101…
…011111001100
3121022122102200
4201011133030
54210020403
6505521500
7133502244
oct41053714
917278380
108673228
114994363
122aa3290
131a489b5
14121ab24
15b64ca3
hex8457cc

8673228 has 36 divisors (see below), whose sum is σ = 22178520. Its totient is φ = 2857536.

The previous prime is 8673221. The next prime is 8673271. The reversal of 8673228 is 8223768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 83 + 67 + 72 + 33 + 222 + 222 + 84 .

It is a junction number, because it is equal to n+sod(n) for n = 8673192 and 8673201.

It is not an unprimeable number, because it can be changed into a prime (8673221) 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, 1851 + ... + 4557.

It is an arithmetic number, because the mean of its divisors is an integer number (616070).

Almost surely, 28673228 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 8673228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089260).

8673228 is an abundant number, since it is smaller than the sum of its proper divisors (13505292).

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

8673228 is a wasteful number, since it uses less digits than its factorization.

8673228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2801 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8673228 is about 2945.0344649936. The cubic root of 8673228 is about 205.4598284025.

It can be divided in two parts, 867 and 3228, that added together give a triangular number (4095 = T90).

The spelling of 8673228 in words is "eight million, six hundred seventy-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 2707 3204 5414 8121 10828 16242 24363 32484 48726 97452 240923 481846 722769 963692 1445538 2168307 2891076 4336614 8673228