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86806692 = 223271723881
BaseRepresentation
bin1010010110010…
…01000010100100
320001100020101200
411023021002210
5134210303232
612340322500
72102562510
oct513110244
9201306350
1086806692
1145000175
12250a3430
1314ca460b
14b759140
15794a77c
hex52c90a4

86806692 has 144 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 22302720.

The previous prime is 86806661. The next prime is 86806711. The reversal of 86806692 is 29660868.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98092 + ... + 98972.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 286806692 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 86806692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

86806692 is an abundant number, since it is smaller than the sum of its proper divisors (190578780).

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

86806692 is a wasteful number, since it uses less digits than its factorization.

86806692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 86806692 is about 9317.0108940582. The cubic root of 86806692 is about 442.7763360615.

The spelling of 86806692 in words is "eighty-six million, eight hundred six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 23 28 34 36 42 46 51 63 68 69 84 92 102 119 126 138 153 161 204 207 238 252 276 306 322 357 391 414 476 483 612 644 714 782 828 881 966 1071 1173 1428 1449 1564 1762 1932 2142 2346 2643 2737 2898 3519 3524 4284 4692 5286 5474 5796 6167 7038 7929 8211 10572 10948 12334 14076 14977 15858 16422 18501 20263 24633 24668 29954 31716 32844 37002 40526 44931 49266 55503 59908 60789 74004 81052 89862 98532 104839 111006 121578 134793 141841 179724 182367 209678 222012 243156 269586 283682 314517 344471 364734 419356 425523 539172 567364 629034 688942 729468 851046 943551 1033413 1258068 1276569 1377884 1702092 1887102 2066826 2411297 2553138 3100239 3774204 4133652 4822594 5106276 6200478 7233891 9645188 12400956 14467782 21701673 28935564 43403346 86806692