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444025741 = 2331797883
BaseRepresentation
bin11010011101110…
…100101110001101
31010221111211210211
4122131310232031
51402132310431
6112021002421
714001104455
oct3235645615
91127454724
10444025741
11208706125
12104853411
1370cb7633
1442d84d65
1528ead2b1
hex1a774b8d

444025741 has 16 divisors (see below), whose sum is σ = 484392960. Its totient is φ = 405765360.

The previous prime is 444025739. The next prime is 444025759. The reversal of 444025741 is 147520444.

It is a cyclic number.

It is not a de Polignac number, because 444025741 - 21 = 444025739 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444025721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52386 + ... + 60268.

It is an arithmetic number, because the mean of its divisors is an integer number (30274560).

Almost surely, 2444025741 is an apocalyptic number.

It is an amenable number.

444025741 is a deficient number, since it is larger than the sum of its proper divisors (40367219).

444025741 is a wasteful number, since it uses less digits than its factorization.

444025741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8016.

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 444025741 is about 21071.9183037520. The cubic root of 444025741 is about 762.9031051753.

The spelling of 444025741 in words is "four hundred forty-four million, twenty-five thousand, seven hundred forty-one".

Divisors: 1 23 31 79 713 1817 2449 7883 56327 181309 244373 622757 5620579 14323411 19305467 444025741