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1064352042 = 233135328607
BaseRepresentation
bin111111011100001…
…011100100101010
32202011202200112000
4333130023210222
54134433231132
6253340431430
735242562115
oct7734134452
92664680460
101064352042
114a6887496
12258548576
1313c67c010
14a14dd57c
156369387c
hex3f70b92a

1064352042 has 64 divisors (see below), whose sum is σ = 2595317760. Its totient is φ = 321302592.

The previous prime is 1064352019. The next prime is 1064352049. The reversal of 1064352042 is 2402534601.

1064352042 is a `hidden beast` number, since 10 + 643 + 5 + 2 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×10643520422 = 2265690538619139528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1064351997 and 1064352015.

It is not an unprimeable number, because it can be changed into a prime (1064352049) 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 31 ways as a sum of consecutive naturals, for example, 22903 + ... + 51509.

It is an arithmetic number, because the mean of its divisors is an integer number (40551840).

Almost surely, 21064352042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1064352042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297658880).

1064352042 is an abundant number, since it is smaller than the sum of its proper divisors (1530965718).

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

1064352042 is a wasteful number, since it uses less digits than its factorization.

1064352042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28684 (or 28678 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1064352042 is about 32624.4086842965. The cubic root of 1064352042 is about 1021.0063251789.

Adding to 1064352042 its reverse (2402534601), we get a palindrome (3466886643).

The spelling of 1064352042 in words is "one billion, sixty-four million, three hundred fifty-two thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 2067 2862 4134 6201 12402 18603 28607 37206 57214 85821 171642 257463 371891 514926 743782 772389 1115673 1516171 1544778 2231346 3032342 3347019 4548513 6694038 9097026 10041057 13645539 19710223 20082114 27291078 39420446 40936617 59130669 81873234 118261338 177392007 354784014 532176021 1064352042