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8328132 = 2232733169
BaseRepresentation
bin11111110001001111000100
3120200010001100
4133301033010
54113000012
6454300100
7130534161
oct37611704
916603040
108328132
11477905a
122957630
1319578b7
14116b068
15ae78dc
hex7f13c4

8328132 has 36 divisors (see below), whose sum is σ = 21346780. Its totient is φ = 2737152.

The previous prime is 8328127. The next prime is 8328161. The reversal of 8328132 is 2318238.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 2452356 = 2424^2 + 1566^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8328096 and 8328105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1044 + ... + 4212.

Almost surely, 28328132 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 8328132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10673390).

8328132 is an abundant number, since it is smaller than the sum of its proper divisors (13018648).

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

8328132 is a wasteful number, since it uses less digits than its factorization.

8328132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3252 (or 3247 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 8328132 is about 2885.8503079682. The cubic root of 8328132 is about 202.6978769936.

The spelling of 8328132 in words is "eight million, three hundred twenty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 3169 6338 9507 12676 19014 28521 38028 57042 114084 231337 462674 694011 925348 1388022 2082033 2776044 4164066 8328132