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444496 = 24132137
BaseRepresentation
bin1101100100001010000
3211120201211
41230201100
5103210441
613305504
73530623
oct1544120
9746654
10444496
11283a58
12195294
13127420
14b7dba
158ba81
hex6c850

444496 has 20 divisors (see below), whose sum is σ = 927892. Its totient is φ = 205056.

The previous prime is 444487. The next prime is 444517. The reversal of 444496 is 694444.

It can be written as a sum of positive squares in 2 ways, for example, as 40000 + 404496 = 200^2 + 636^2 .

It is a congruent number.

It is an unprimeable number.

444496 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 861 + ... + 1276.

2444496 is an apocalyptic number.

It is an amenable number.

444496 is an abundant number, since it is smaller than the sum of its proper divisors (483396).

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

444496 is a wasteful number, since it uses less digits than its factorization.

444496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2152 counting only the distinct ones).

The product of its digits is 13824, while the sum is 31.

The square root of 444496 is about 666.7053322121. The cubic root of 444496 is about 76.3172335417.

It can be divided in two parts, 4444 and 96, that multiplied together give a palindrome (426624).

The spelling of 444496 in words is "four hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 208 2137 4274 8548 17096 27781 34192 55562 111124 222248 444496