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85922712 = 233219107587
BaseRepresentation
bin1010001111100…
…01001110011000
312222200022210200
411013301032120
5133444011322
612305342200
72062221351
oct507611630
9188608720
1085922712
1144557007
1224937960
1314a55155
14b5a8d28
1578238ac
hex51f1398

85922712 has 96 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 26834112.

The previous prime is 85922663. The next prime is 85922717. The reversal of 85922712 is 21722958.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85922717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146083 + ... + 146669.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 285922712 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 85922712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

85922712 is an abundant number, since it is smaller than the sum of its proper divisors (161742888).

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

85922712 is a wasteful number, since it uses less digits than its factorization.

85922712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 85922712 is about 9269.4504691486. The cubic root of 85922712 is about 441.2682280801.

The spelling of 85922712 in words is "eighty-five million, nine hundred twenty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 107 114 152 171 214 228 321 342 428 456 587 642 684 856 963 1174 1284 1368 1761 1926 2033 2348 2568 3522 3852 4066 4696 5283 6099 7044 7704 8132 10566 11153 12198 14088 16264 18297 21132 22306 24396 33459 36594 42264 44612 48792 62809 66918 73188 89224 100377 125618 133836 146376 188427 200754 251236 267672 376854 401508 502472 565281 753708 803016 1130562 1193371 1507416 2261124 2386742 3580113 4522248 4773484 7160226 9546968 10740339 14320452 21480678 28640904 42961356 85922712