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1000442024 = 231491814637
BaseRepresentation
bin111011101000011…
…000100010101000
32120201111201110022
4323220120202220
54022103121044
6243134540012
733535421411
oct7350304250
92521451408
101000442024
114737a599a
1223b067608
1312c36343a
1496c24808
155cc6c3ee
hex3ba188a8

1000442024 has 32 divisors (see below), whose sum is σ = 1899261000. Its totient is φ = 494012160.

The previous prime is 1000442021. The next prime is 1000442059. The reversal of 1000442024 is 4202440001.

It can be written as a sum of positive squares in 4 ways, for example, as 221473924 + 778968100 = 14882^2 + 27910^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000441993 and 1000442011.

It is not an unprimeable number, because it can be changed into a prime (1000442021) 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 7 ways as a sum of consecutive naturals, for example, 213434 + ... + 218070.

Almost surely, 21000442024 is an apocalyptic number.

It is an amenable number.

1000442024 is a deficient number, since it is larger than the sum of its proper divisors (898818976).

1000442024 is a wasteful number, since it uses less digits than its factorization.

1000442024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4973 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1000442024 is about 31629.7648426288. The cubic root of 1000442024 is about 1000.1473196292.

Adding to 1000442024 its reverse (4202440001), we get a palindrome (5202882025).

The spelling of 1000442024 in words is "one billion, four hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 149 181 298 362 596 724 1192 1448 4637 9274 18548 26969 37096 53938 107876 215752 690913 839297 1381826 1678594 2763652 3357188 5527304 6714376 125055253 250110506 500221012 1000442024