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868935636 = 2232532691693
BaseRepresentation
bin110011110010101…
…110011111010100
32020120001111121100
4303302232133110
53234421420021
6222120150100
730350555022
oct6362563724
92216044540
10868935636
11406545228
12203008330
1310b03b0ca
1483591712
1551442626
hex33cae7d4

868935636 has 72 divisors (see below), whose sum is σ = 2247565320. Its totient is φ = 282956544.

The previous prime is 868935619. The next prime is 868935643. The reversal of 868935636 is 636539868.

It can be written as a sum of positive squares in 4 ways, for example, as 29095236 + 839840400 = 5394^2 + 28980^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512406 + ... + 514098.

It is an arithmetic number, because the mean of its divisors is an integer number (31216185).

Almost surely, 2868935636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 868935636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123782660).

868935636 is an abundant number, since it is smaller than the sum of its proper divisors (1378629684).

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

868935636 is a wasteful number, since it uses less digits than its factorization.

868935636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2020 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 868935636 is about 29477.7142261743. The cubic root of 868935636 is about 954.2508075717.

It can be divided in two parts, 86893 and 5636, that added together give a palindrome (92529).

The spelling of 868935636 in words is "eight hundred sixty-eight million, nine hundred thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 269 318 477 538 636 807 954 1076 1614 1693 1908 2421 3228 3386 4842 5079 6772 9684 10158 14257 15237 20316 28514 30474 42771 57028 60948 85542 89729 128313 171084 179458 256626 269187 358916 455417 513252 538374 807561 910834 1076748 1366251 1615122 1821668 2732502 3230244 4098753 5465004 8197506 16395012 24137101 48274202 72411303 96548404 144822606 217233909 289645212 434467818 868935636