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444010444 = 221576411103
BaseRepresentation
bin11010011101110…
…000111111001100
31010221111001211021
4122131300333030
51402131313234
6112020403524
714001012043
oct3235607714
91127431737
10444010444
112086a5689
121048465a4
1370cb0697
1442d7d55a
1528ea89b4
hex1a770fcc

444010444 has 24 divisors (see below), whose sum is σ = 783897408. Its totient is φ = 220047360.

The previous prime is 444010433. The next prime is 444010477.

It is a happy number.

444010444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401997 + ... + 403099.

It is an arithmetic number, because the mean of its divisors is an integer number (32662392).

Almost surely, 2444010444 is an apocalyptic number.

It is an amenable number.

444010444 is a deficient number, since it is larger than the sum of its proper divisors (339886964).

444010444 is a wasteful number, since it uses less digits than its factorization.

444010444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1903 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 444010444 is about 21071.5553294008. Note that the first 3 decimals coincide. The cubic root of 444010444 is about 762.8943442246.

It can be divided in two parts, 4440 and 10444, that added together give a square (14884 = 1222).

The spelling of 444010444 in words is "four hundred forty-four million, ten thousand, four hundred forty-four".

Divisors: 1 2 4 157 314 628 641 1103 1282 2206 2564 4412 100637 173171 201274 346342 402548 692684 707023 1414046 2828092 111002611 222005222 444010444