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3946852 = 2272131549
BaseRepresentation
bin1111000011100101100100
321102112001201
433003211210
52002244402
6220332244
745355600
oct17034544
97375051
103946852
112256368
1213a4084
13a82620
1474a500
1552e687
hex3c3964

3946852 has 36 divisors (see below), whose sum is σ = 8658300. Its totient is φ = 1560384.

The previous prime is 3946843. The next prime is 3946853. The reversal of 3946852 is 2586493.

3946852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 933156 + 3013696 = 966^2 + 1736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3946853) 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 11 ways as a sum of consecutive naturals, for example, 1774 + ... + 3322.

Almost surely, 23946852 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 3946852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4329150).

3946852 is an abundant number, since it is smaller than the sum of its proper divisors (4711448).

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

3946852 is a wasteful number, since it uses less digits than its factorization.

3946852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1571 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 3946852 is about 1986.6685682318. The cubic root of 3946852 is about 158.0339082275.

The spelling of 3946852 in words is "three million, nine hundred forty-six thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 1549 2548 3098 6196 10843 20137 21686 40274 43372 75901 80548 140959 151802 281918 303604 563836 986713 1973426 3946852