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3982122 = 23447523
BaseRepresentation
bin1111001100001100101010
321111022110000
433030030222
52004411442
6221203430
745563454
oct17141452
97438400
103982122
11227a911
121400576
13a956b1
147592d4
15539d4c
hex3cc32a

3982122 has 40 divisors (see below), whose sum is σ = 9130176. Its totient is φ = 1296648.

The previous prime is 3982117. The next prime is 3982123. The reversal of 3982122 is 2212893.

It is a happy number.

3982122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (3982123) 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 19 ways as a sum of consecutive naturals, for example, 7353 + ... + 7875.

Almost surely, 23982122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565088).

3982122 is an abundant number, since it is smaller than the sum of its proper divisors (5148054).

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

3982122 is a wasteful number, since it uses less digits than its factorization.

3982122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3982122 is about 1995.5254947006. The cubic root of 3982122 is about 158.5032556792.

The spelling of 3982122 in words is "three million, nine hundred eighty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 523 846 1046 1269 1569 2538 3138 3807 4707 7614 9414 14121 24581 28242 42363 49162 73743 84726 147486 221229 442458 663687 1327374 1991061 3982122