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10008852 = 22371743163
BaseRepresentation
bin100110001011…
…100100010100
3200211111120020
4212023210110
510030240402
6554305140
7151034220
oct46134424
920744506
1010008852
115716887
1234281b0
1320c58c9
141487780
15d2a8bc
hex98b914

10008852 has 96 divisors (see below), whose sum is σ = 29094912. Its totient is φ = 2612736.

The previous prime is 10008847. The next prime is 10008853. The reversal of 10008852 is 25880001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008853) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61323 + ... + 61485.

It is an arithmetic number, because the mean of its divisors is an integer number (303072).

Almost surely, 210008852 is an apocalyptic number.

10008852 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 10008852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547456).

10008852 is an abundant number, since it is smaller than the sum of its proper divisors (19086060).

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

10008852 is a wasteful number, since it uses less digits than its factorization.

10008852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 10008852 is about 3163.6769746610. The cubic root of 10008852 is about 215.5070204412.

Adding to 10008852 its reverse (25880001), we get a palindrome (35888853).

The spelling of 10008852 in words is "ten million, eight thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 43 51 68 84 86 102 119 129 163 172 204 238 258 301 326 357 476 489 516 602 652 714 731 903 978 1141 1204 1428 1462 1806 1956 2193 2282 2771 2924 3423 3612 4386 4564 5117 5542 6846 7009 8313 8772 10234 11084 13692 14018 15351 16626 19397 20468 21027 28036 30702 33252 38794 42054 49063 58191 61404 77588 84108 98126 116382 119153 147189 196252 232764 238306 294378 357459 476612 588756 714918 834071 1429836 1668142 2502213 3336284 5004426 10008852