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442703440 = 2455533793
BaseRepresentation
bin11010011000110…
…001111001010000
31010212000122221201
4122120301321100
51401313002230
6111532400544
713653626404
oct3230617120
91125018851
10442703440
11207992713
12104316154
13709437ca
1442b1d104
1528ceb5ca
hex1a631e50

442703440 has 20 divisors (see below), whose sum is σ = 1029285684. Its totient is φ = 177081344.

The previous prime is 442703423. The next prime is 442703449. The reversal of 442703440 is 44307244.

It can be written as a sum of positive squares in 2 ways, for example, as 187470864 + 255232576 = 13692^2 + 15976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 442703399 and 442703408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442703449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2766817 + ... + 2766976.

Almost surely, 2442703440 is an apocalyptic number.

442703440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442703440 is an abundant number, since it is smaller than the sum of its proper divisors (586582244).

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

442703440 is a wasteful number, since it uses less digits than its factorization.

442703440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5533806 (or 5533800 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 442703440 is about 21040.5190050056. The cubic root of 442703440 is about 762.1450480856.

The spelling of 442703440 in words is "four hundred forty-two million, seven hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5533793 11067586 22135172 27668965 44270344 55337930 88540688 110675860 221351720 442703440