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446868 = 223212413
BaseRepresentation
bin1101101000110010100
3211200222200
41231012110
5103244433
613324500
73540552
oct1550624
9750880
10446868
11285814
12196730
13128526
14b8bd2
158c613
hex6d194

446868 has 18 divisors (see below), whose sum is σ = 1129674. Its totient is φ = 148944.

The previous prime is 446863. The next prime is 446881. The reversal of 446868 is 868644.

It can be written as a sum of positive squares in only one way, i.e., 345744 + 101124 = 588^2 + 318^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12413 = 446868 / (4 + 4 + 6 + 8 + 6 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446863) by changing a digit.

446868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6171 + ... + 6242.

2446868 is an apocalyptic number.

It is an amenable number.

446868 is an abundant number, since it is smaller than the sum of its proper divisors (682806).

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

446868 is a wasteful number, since it uses less digits than its factorization.

446868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12418 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 446868 is about 668.4818621324. The cubic root of 446868 is about 76.4527453904.

The spelling of 446868 in words is "four hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12413 24826 37239 49652 74478 111717 148956 223434 446868