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444442104 = 23327384559
BaseRepresentation
bin11010011111011…
…010010111111000
31010222021222221200
4122133122113320
51402234121404
6112033534200
714004460401
oct3237322770
91128258850
10444442104
1120896aa27
12104a14360
1371101cc2
14430529a8
1529041839
hex1a7da5f8

444442104 has 48 divisors (see below), whose sum is σ = 1220200800. Its totient is φ = 146116224.

The previous prime is 444442093. The next prime is 444442127. The reversal of 444442104 is 401244444.

444442104 is a `hidden beast` number, since 4 + 4 + 444 + 210 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37024 + ... + 47535.

It is an arithmetic number, because the mean of its divisors is an integer number (25420850).

Almost surely, 2444442104 is an apocalyptic number.

It is an amenable number.

444442104 is an abundant number, since it is smaller than the sum of its proper divisors (775758696).

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

444442104 is a wasteful number, since it uses less digits than its factorization.

444442104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84644 (or 84637 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 444442104 is about 21081.7955592023. The cubic root of 444442104 is about 763.1414887965.

Adding to 444442104 its reverse (401244444), we get a palindrome (845686548).

The spelling of 444442104 in words is "four hundred forty-four million, four hundred forty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 84559 169118 253677 338236 507354 676472 761031 1014708 1522062 2029416 3044124 6088248 6172807 12345614 18518421 24691228 37036842 49382456 55555263 74073684 111110526 148147368 222221052 444442104