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85837212 = 22331959709
BaseRepresentation
bin1010001110111…
…00010110011100
312222111222112000
411013130112130
5133433242322
612303442300
72061414156
oct507342634
9188458460
1085837212
11444a884a
12248b6390
1314a25266
14b585ad6
1578083ac
hex51dc59c

85837212 has 96 divisors (see below), whose sum is σ = 238560000. Its totient is φ = 26609472.

The previous prime is 85837201. The next prime is 85837217. The reversal of 85837212 is 21273858.

85837212 is a `hidden beast` number, since 8 + 583 + 72 + 1 + 2 = 666.

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 (85837217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120714 + ... + 121422.

It is an arithmetic number, because the mean of its divisors is an integer number (2485000).

Almost surely, 285837212 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 85837212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119280000).

85837212 is an abundant number, since it is smaller than the sum of its proper divisors (152722788).

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

85837212 is a wasteful number, since it uses less digits than its factorization.

85837212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 792 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 85837212 is about 9264.8373973859. The cubic root of 85837212 is about 441.1218137277.

The spelling of 85837212 in words is "eighty-five million, eight hundred thirty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 59 76 108 114 118 171 177 228 236 342 354 513 531 684 708 709 1026 1062 1121 1418 1593 2052 2124 2127 2242 2836 3186 3363 4254 4484 6372 6381 6726 8508 10089 12762 13452 13471 19143 20178 25524 26942 30267 38286 40356 40413 41831 53884 60534 76572 80826 83662 121068 121239 125493 161652 167324 242478 250986 363717 376479 484956 501972 727434 752958 794789 1129437 1454868 1505916 1589578 2258874 2384367 3179156 4517748 4768734 7153101 9537468 14306202 21459303 28612404 42918606 85837212