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8328852 = 2233723479
BaseRepresentation
bin11111110001011010010100
3120200011001000
4133301122110
54113010402
6454303300
7130536240
oct37613224
916604030
108328852
114779654
122957b30
13195801c
14116b420
15ae7c1c
hex7f1694

8328852 has 96 divisors (see below), whose sum is σ = 25804800. Its totient is φ = 2271456.

The previous prime is 8328851. The next prime is 8328871. The reversal of 8328852 is 2588238.

It is a super-3 number, since 3×83288523 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8328851) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17149 + ... + 17627.

It is an arithmetic number, because the mean of its divisors is an integer number (268800).

Almost surely, 28328852 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 8328852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902400).

8328852 is an abundant number, since it is smaller than the sum of its proper divisors (17475948).

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

8328852 is a wasteful number, since it uses less digits than its factorization.

8328852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 8328852 is about 2885.9750518672. The cubic root of 8328852 is about 202.7037181700.

It can be divided in two parts, 8328 and 852, that added together give a triangular number (9180 = T135).

The spelling of 8328852 in words is "eight million, three hundred twenty-eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 27 28 36 42 46 54 63 69 84 92 108 126 138 161 189 207 252 276 322 378 414 479 483 621 644 756 828 958 966 1242 1437 1449 1916 1932 2484 2874 2898 3353 4311 4347 5748 5796 6706 8622 8694 10059 11017 12933 13412 17244 17388 20118 22034 25866 30177 33051 40236 44068 51732 60354 66102 77119 90531 99153 120708 132204 154238 181062 198306 231357 297459 308476 362124 396612 462714 594918 694071 925428 1189836 1388142 2082213 2776284 4164426 8328852