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10442352 = 2431767191
BaseRepresentation
bin100111110101…
…011001110000
3201122112012210
4213311121300
510133123402
61011452120
7154521114
oct47653160
921575183
1010442352
115992548
1235b7040
13221800b
14155b744
15db406c
hex9f5670

10442352 has 80 divisors (see below), whose sum is σ = 29140992. Its totient is φ = 3210240.

The previous prime is 10442347. The next prime is 10442359. The reversal of 10442352 is 25324401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442359) 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 15 ways as a sum of consecutive naturals, for example, 54577 + ... + 54767.

Almost surely, 210442352 is an apocalyptic number.

10442352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10442352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14570496).

10442352 is an abundant number, since it is smaller than the sum of its proper divisors (18698640).

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

10442352 is a wasteful number, since it uses less digits than its factorization.

10442352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 10442352 is about 3231.4628266468. The cubic root of 10442352 is about 218.5744744881.

Adding to 10442352 its reverse (25324401), we get a palindrome (35766753).

The spelling of 10442352 in words is "ten million, four hundred forty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 134 136 191 201 204 268 272 382 402 408 536 573 764 804 816 1072 1139 1146 1528 1608 2278 2292 3056 3216 3247 3417 4556 4584 6494 6834 9112 9168 9741 12797 12988 13668 18224 19482 25594 25976 27336 38391 38964 51188 51952 54672 76782 77928 102376 153564 155856 204752 217549 307128 435098 614256 652647 870196 1305294 1740392 2610588 3480784 5221176 10442352