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444992 = 2617409
BaseRepresentation
bin1101100101001000000
3211121102012
41230221000
5103214432
613312052
73532232
oct1545100
9747365
10444992
11284369
12195628
13127712
14b8252
158bcb2
hex6ca40

444992 has 28 divisors (see below), whose sum is σ = 937260. Its totient is φ = 208896.

The previous prime is 444979. The next prime is 445001. The reversal of 444992 is 299444.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 65536 = 616^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable 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, 884 + ... + 1292.

2444992 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 444992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468630).

444992 is an abundant number, since it is smaller than the sum of its proper divisors (492268).

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

444992 is a wasteful number, since it uses less digits than its factorization.

444992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its digits is 10368, while the sum is 32.

The square root of 444992 is about 667.0772069259. The cubic root of 444992 is about 76.3456097077.

The spelling of 444992 in words is "four hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 409 544 818 1088 1636 3272 6544 6953 13088 13906 26176 27812 55624 111248 222496 444992