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8102532 = 2232331947
BaseRepresentation
bin11110111010001010000100
3120020122120210
4132322022010
54033240112
6445355420
7125604354
oct36721204
916218523
108102532
114634609
122868b70
1318a8cc9
14110cb64
15aa0b3c
hex7ba284

8102532 has 48 divisors (see below), whose sum is σ = 20385792. Its totient is φ = 2497440.

The previous prime is 8102459. The next prime is 8102537. The reversal of 8102532 is 2352018.

8102532 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×81025322 = 131302049622048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8102499 and 8102508.

It is not an unprimeable number, because it can be changed into a prime (8102537) 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 15 ways as a sum of consecutive naturals, for example, 8083 + ... + 9029.

It is an arithmetic number, because the mean of its divisors is an integer number (424704).

Almost surely, 28102532 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 8102532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10192896).

8102532 is an abundant number, since it is smaller than the sum of its proper divisors (12283260).

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

8102532 is a wasteful number, since it uses less digits than its factorization.

8102532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 8102532 is about 2846.4946864521. The cubic root of 8102532 is about 200.8508088227.

The spelling of 8102532 in words is "eight million, one hundred two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 947 1426 1894 2139 2841 2852 3788 4278 5682 8556 11364 21781 29357 43562 58714 65343 87124 88071 117428 130686 176142 261372 352284 675211 1350422 2025633 2700844 4051266 8102532