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85543136 = 2573197127
BaseRepresentation
bin1010001100101…
…00100011100000
312221222001010022
411012110203200
5133344340021
612253253012
72056050620
oct506244340
9187861108
1085543136
1144317908
1224794168
1314951453
14b50a880
15779b1ab
hex51948e0

85543136 has 96 divisors (see below), whose sum is σ = 202309632. Its totient is φ = 34836480.

The previous prime is 85543109. The next prime is 85543181. The reversal of 85543136 is 63134558.

It is a junction number, because it is equal to n+sod(n) for n = 85543096 and 85543105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 673505 + ... + 673631.

It is an arithmetic number, because the mean of its divisors is an integer number (2107392).

Almost surely, 285543136 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 85543136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101154816).

85543136 is an abundant number, since it is smaller than the sum of its proper divisors (116766496).

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

85543136 is a wasteful number, since it uses less digits than its factorization.

85543136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The square root of 85543136 is about 9248.9532380697. The cubic root of 85543136 is about 440.6174801527.

The spelling of 85543136 in words is "eighty-five million, five hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 97 112 124 127 194 217 224 248 254 388 434 496 508 679 776 868 889 992 1016 1358 1552 1736 1778 2032 2716 3007 3104 3472 3556 3937 4064 5432 6014 6944 7112 7874 10864 12028 12319 14224 15748 21049 21728 24056 24638 27559 28448 31496 42098 48112 49276 55118 62992 84196 86233 96224 98552 110236 125984 168392 172466 197104 220472 336784 344932 381889 394208 440944 673568 689864 763778 881888 1379728 1527556 2673223 2759456 3055112 5346446 6110224 10692892 12220448 21385784 42771568 85543136