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85703868 = 2232171311069
BaseRepresentation
bin1010001101110…
…11110010111100
312222021012121100
411012323302330
5133420010433
612300533100
72060320335
oct506736274
9188235540
1085703868
1144417648
1224851190
13149a9663
14b54d28c
1577cdb13
hex51bbcbc

85703868 has 72 divisors (see below), whose sum is σ = 231351120. Its totient is φ = 26657280.

The previous prime is 85703867. The next prime is 85703873. The reversal of 85703868 is 86830758.

It is a super-2 number, since 2×857038682 = 14690305980322848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85703867) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79638 + ... + 80706.

It is an arithmetic number, because the mean of its divisors is an integer number (3213210).

Almost surely, 285703868 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 85703868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115675560).

85703868 is an abundant number, since it is smaller than the sum of its proper divisors (145647252).

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

85703868 is a wasteful number, since it uses less digits than its factorization.

85703868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 85703868 is about 9257.6383597546. The cubic root of 85703868 is about 440.8932748047.

The spelling of 85703868 in words is "eighty-five million, seven hundred three thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 131 153 204 262 306 393 524 612 786 1069 1179 1572 2138 2227 2358 3207 4276 4454 4716 6414 6681 8908 9621 12828 13362 18173 19242 20043 26724 36346 38484 40086 54519 72692 80172 109038 140039 163557 218076 280078 327114 420117 560156 654228 840234 1260351 1680468 2380663 2520702 4761326 5041404 7141989 9522652 14283978 21425967 28567956 42851934 85703868