Search a number
-
+
446000 = 2453223
BaseRepresentation
bin1101100111000110000
3211122210112
41230320300
5103233000
613320452
73535202
oct1547060
9748715
10446000
112850a5
12196128
13128009
14b8772
158c235
hex6ce30

446000 has 40 divisors (see below), whose sum is σ = 1083264. Its totient is φ = 177600.

The previous prime is 445969. The next prime is 446003. The reversal of 446000 is 644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (446003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1889 + ... + 2111.

2446000 is an apocalyptic number.

446000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541632).

446000 is an abundant number, since it is smaller than the sum of its proper divisors (637264).

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

446000 is a wasteful number, since it uses less digits than its factorization.

446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 446000 is about 667.8323142826. The cubic root of 446000 is about 76.4032124962.

Adding to 446000 its reverse (644), we get a palindrome (446644).

The spelling of 446000 in words is "four hundred forty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 446 500 892 1000 1115 1784 2000 2230 3568 4460 5575 8920 11150 17840 22300 27875 44600 55750 89200 111500 223000 446000