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441966 = 23717619
BaseRepresentation
bin1101011111001101110
3211110021010
41223321232
5103120331
613250050
73520350
oct1537156
9743233
10441966
11282068
12193926
13126225
14b70d0
158ae46
hex6be6e

441966 has 32 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 118656.

The previous prime is 441953. The next prime is 441971. The reversal of 441966 is 669144.

Its product of digits (5184) is a multiple of the sum of its prime divisors (648).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

441966 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405 + ... + 1023.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2441966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

441966 is an abundant number, since it is smaller than the sum of its proper divisors (629394).

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

441966 is a wasteful number, since it uses less digits than its factorization.

441966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its digits is 5184, while the sum is 30.

The square root of 441966 is about 664.8052346364. The cubic root of 441966 is about 76.1721627984.

The spelling of 441966 in words is "four hundred forty-one thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 619 714 1238 1857 3714 4333 8666 10523 12999 21046 25998 31569 63138 73661 147322 220983 441966