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85922676 = 22327267727
BaseRepresentation
bin1010001111100…
…01001101110100
312222200022202100
411013301031310
5133444011201
612305342100
72062221300
oct507611564
9188608670
1085922676
1144556a84
1224937930
1314a55128
14b5a8d00
157823886
hex51f1374

85922676 has 108 divisors (see below), whose sum is σ = 256777248. Its totient is φ = 24149664.

The previous prime is 85922663. The next prime is 85922717. The reversal of 85922676 is 67622958.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117825 + ... + 118551.

Almost surely, 285922676 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 85922676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128388624).

85922676 is an abundant number, since it is smaller than the sum of its proper divisors (170854572).

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

85922676 is a wasteful number, since it uses less digits than its factorization.

85922676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 806 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 85922676 is about 9269.4485272858. The cubic root of 85922676 is about 441.2681664524.

It can be divided in two parts, 85 and 922676, that added together give a triangular number (922761 = T1358).

The spelling of 85922676 in words is "eighty-five million, nine hundred twenty-two thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 147 196 201 252 268 294 402 441 469 588 603 727 804 882 938 1206 1407 1454 1764 1876 2181 2412 2814 2908 3283 4221 4362 5089 5628 6543 6566 8442 8724 9849 10178 13086 13132 15267 16884 19698 20356 26172 29547 30534 35623 39396 45801 48709 59094 61068 71246 91602 97418 106869 118188 142492 146127 183204 194836 213738 292254 320607 340963 427476 438381 584508 641214 681926 876762 1022889 1282428 1363852 1753524 2045778 2386741 3068667 4091556 4773482 6137334 7160223 9546964 12274668 14320446 21480669 28640892 42961338 85922676