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6628328 = 237237457
BaseRepresentation
bin11001010010001111101000
3110110202100122
4121102033220
53144101303
6354022412
7110224400
oct31221750
913422318
106628328
113817a63
122277a08
1314b0cb5
14c47800
158ade38
hex6523e8

6628328 has 48 divisors (see below), whose sum is σ = 14880420. Its totient is φ = 2757888.

The previous prime is 6628313. The next prime is 6628357. The reversal of 6628328 is 8238266.

It can be written as a sum of positive squares in 2 ways, for example, as 5466244 + 1162084 = 2338^2 + 1078^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 14276 + ... + 14732.

Almost surely, 26628328 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 6628328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440210).

6628328 is an abundant number, since it is smaller than the sum of its proper divisors (8252092).

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

6628328 is a wasteful number, since it uses less digits than its factorization.

6628328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 6628328 is about 2574.5539419480. The cubic root of 6628328 is about 187.8457312993.

The spelling of 6628328 in words is "six million, six hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 457 518 914 1036 1813 1828 2072 3199 3626 3656 6398 7252 12796 14504 16909 22393 25592 33818 44786 67636 89572 118363 135272 179144 236726 473452 828541 946904 1657082 3314164 6628328