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3946072 = 2313191997
BaseRepresentation
bin1111000011011001011000
321102110222211
433003121120
52002233242
6220324504
745353404
oct17033130
97373884
103946072
112255819
1213a3734
13a82170
1474a104
1552e317
hex3c3658

3946072 has 32 divisors (see below), whose sum is σ = 8391600. Its totient is φ = 1724544.

The previous prime is 3946051. The next prime is 3946123. The reversal of 3946072 is 2706493.

3946072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 978 + ... + 2974.

Almost surely, 23946072 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 3946072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195800).

3946072 is an abundant number, since it is smaller than the sum of its proper divisors (4445528).

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

3946072 is a wasteful number, since it uses less digits than its factorization.

3946072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 3946072 is about 1986.4722499950. The cubic root of 3946072 is about 158.0234970129.

The spelling of 3946072 in words is "three million, nine hundred forty-six thousand, seventy-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 247 494 988 1976 1997 3994 7988 15976 25961 37943 51922 75886 103844 151772 207688 303544 493259 986518 1973036 3946072