Search a number
-
+
3978282 = 2371179109
BaseRepresentation
bin1111001011010000101010
321111010011210
433023100222
52004301112
6221133550
745546330
oct17132052
97433153
103978282
112277a40
1213ba2b6
13a93a19
14757b50
15538b3c
hex3cb42a

3978282 has 64 divisors (see below), whose sum is σ = 10137600. Its totient is φ = 1010880.

The previous prime is 3978269. The next prime is 3978283. The reversal of 3978282 is 2828793.

3978282 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3978282.

It is not an unprimeable number, because it can be changed into a prime (3978283) 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 31 ways as a sum of consecutive naturals, for example, 36444 + ... + 36552.

It is an arithmetic number, because the mean of its divisors is an integer number (158400).

Almost surely, 23978282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068800).

3978282 is an abundant number, since it is smaller than the sum of its proper divisors (6159318).

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

3978282 is a wasteful number, since it uses less digits than its factorization.

3978282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its digits is 48384, while the sum is 39.

The square root of 3978282 is about 1994.5631100569. The cubic root of 3978282 is about 158.4522905363.

The spelling of 3978282 in words is "three million, nine hundred seventy-eight thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 79 109 154 158 218 231 237 327 462 474 553 654 763 869 1106 1199 1526 1659 1738 2289 2398 2607 3318 3597 4578 5214 6083 7194 8393 8611 12166 16786 17222 18249 25179 25833 36498 50358 51666 60277 94721 120554 180831 189442 284163 361662 568326 663047 1326094 1989141 3978282