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BaseRepresentation
bin1111100000101011110000
321122120112210
433200223300
52020103112
6223052120
746363215
oct17405360
97576483
104066032
112327963
121441040
13ac4949
1477bb0c
15554b3c
hex3e0af0

4066032 has 80 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1241856.

The previous prime is 4066031. The next prime is 4066033. The reversal of 4066032 is 2306604.

4066032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4066031) and next prime (4066033).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066031) 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 15 ways as a sum of consecutive naturals, for example, 31953 + ... + 32079.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 24066032 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 4066032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

4066032 is an abundant number, since it is smaller than the sum of its proper divisors (7361808).

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

4066032 is a wasteful number, since it uses less digits than its factorization.

4066032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4066032 is about 2016.4404280811. The cubic root of 4066032 is about 159.6088361387.

The spelling of 4066032 in words is "four million, sixty-six thousand, thirty-two", and thus it is an eban number.