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8282232 = 2332716433
BaseRepresentation
bin11111100110000001111000
3120120210002100
4133212001320
54110012412
6453303400
7130253310
oct37460170
916523070
108282232
114747622
122934b60
13193ca3a
141158440
15ad8edc
hex7e6078

8282232 has 48 divisors (see below), whose sum is σ = 25637040. Its totient is φ = 2366208.

The previous prime is 8282227. The next prime is 8282237. The reversal of 8282232 is 2322828.

8282232 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (8282227) and next prime (8282237).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 8282196 and 8282205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8282237) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7713 + ... + 8720.

It is an arithmetic number, because the mean of its divisors is an integer number (534105).

Almost surely, 28282232 is an apocalyptic number.

It is an amenable number.

8282232 is an abundant number, since it is smaller than the sum of its proper divisors (17354808).

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

8282232 is a wasteful number, since it uses less digits than its factorization.

8282232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16452 (or 16445 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 8282232 is about 2877.8867246645. The cubic root of 8282232 is about 202.3248050335.

The spelling of 8282232 in words is "eight million, two hundred eighty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 16433 32866 49299 65732 98598 115031 131464 147897 197196 230062 295794 345093 394392 460124 591588 690186 920248 1035279 1183176 1380372 2070558 2760744 4141116 8282232