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86771256 = 2331113131193
BaseRepresentation
bin1010010110000…
…00011000111000
320001021102210020
411023000120320
5134203140011
612335450440
72102354265
oct513003070
9201242706
1086771256
1144a86590
1225086a20
1314c91450
14b74a26c
157940006
hex52c0638

86771256 has 128 divisors (see below), whose sum is σ = 258128640. Its totient is φ = 23961600.

The previous prime is 86771239. The next prime is 86771273. The reversal of 86771256 is 65217768.

It is an interprime number because it is at equal distance from previous prime (86771239) and next prime (86771273).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 449496 + ... + 449688.

It is an arithmetic number, because the mean of its divisors is an integer number (2016630).

Almost surely, 286771256 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 86771256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129064320).

86771256 is an abundant number, since it is smaller than the sum of its proper divisors (171357384).

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

86771256 is a wasteful number, since it uses less digits than its factorization.

86771256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 86771256 is about 9315.1090170754. The cubic root of 86771256 is about 442.7160781967.

It can be divided in two parts, 867712 and 56, that added together give a palindrome (867768).

The spelling of 86771256 in words is "eighty-six million, seven hundred seventy-one thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 131 132 143 156 193 262 264 286 312 386 393 429 524 572 579 772 786 858 1048 1144 1158 1441 1544 1572 1703 1716 2123 2316 2509 2882 3144 3406 3432 4246 4323 4632 5018 5109 5764 6369 6812 7527 8492 8646 10036 10218 11528 12738 13624 15054 16984 17292 18733 20072 20436 25283 25476 27599 30108 34584 37466 40872 50566 50952 55198 56199 60216 74932 75849 82797 101132 110396 112398 149864 151698 165594 202264 220792 224796 278113 303396 328679 331188 449592 556226 606792 657358 662376 834339 986037 1112452 1314716 1668678 1972074 2224904 2629432 3337356 3615469 3944148 6674712 7230938 7888296 10846407 14461876 21692814 28923752 43385628 86771256