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4082832 = 243313727
BaseRepresentation
bin1111100100110010010000
321200102121000
433210302100
52021122312
6223302000
746463205
oct17446220
97612530
104082832
112339546
12144a900
13acc4a0
14783cac
15559adc
hex3e4c90

4082832 has 80 divisors (see below), whose sum is σ = 12638080. Its totient is φ = 1254528.

The previous prime is 4082831. The next prime is 4082849. The reversal of 4082832 is 2382804.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4082796 and 4082805.

It is not an unprimeable number, because it can be changed into a prime (4082831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5253 + ... + 5979.

It is an arithmetic number, because the mean of its divisors is an integer number (157976).

Almost surely, 24082832 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 4082832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319040).

4082832 is an abundant number, since it is smaller than the sum of its proper divisors (8555248).

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

4082832 is a wasteful number, since it uses less digits than its factorization.

4082832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 745 counting only the distinct ones).

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

The square root of 4082832 is about 2020.6018905267. The cubic root of 4082832 is about 159.8283576006.

It can be divided in two parts, 408 and 2832, that added together give a triangular number (3240 = T80).

The spelling of 4082832 in words is "four million, eighty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 727 936 1404 1454 1872 2181 2808 2908 4362 5616 5816 6543 8724 9451 11632 13086 17448 18902 19629 26172 28353 34896 37804 39258 52344 56706 75608 78516 85059 104688 113412 151216 157032 170118 226824 255177 314064 340236 453648 510354 680472 1020708 1360944 2041416 4082832