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85323528 = 23321997643
BaseRepresentation
bin1010001010111…
…10111100001000
312221112212212200
411011132330020
5133320323103
612244440200
72054144433
oct505367410
9187485780
1085323528
1144187914
12246a9060
13148a54c4
14b49081a
1577560a3
hex515ef08

85323528 has 96 divisors (see below), whose sum is σ = 246136800. Its totient is φ = 26625024.

The previous prime is 85323523. The next prime is 85323529. The reversal of 85323528 is 82532358.

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

It is a junction number, because it is equal to n+sod(n) for n = 85323492 and 85323501.

It is not an unprimeable number, because it can be changed into a prime (85323523) 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, 132375 + ... + 133017.

It is an arithmetic number, because the mean of its divisors is an integer number (2563925).

Almost surely, 285323528 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 85323528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123068400).

85323528 is an abundant number, since it is smaller than the sum of its proper divisors (160813272).

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

85323528 is a wasteful number, since it uses less digits than its factorization.

85323528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85323528 is about 9237.0735625522. The cubic root of 85323528 is about 440.2401031143.

The spelling of 85323528 in words is "eighty-five million, three hundred twenty-three thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 97 114 152 171 194 228 291 342 388 456 582 643 684 776 873 1164 1286 1368 1746 1843 1929 2328 2572 3492 3686 3858 5144 5529 5787 6984 7372 7716 11058 11574 12217 14744 15432 16587 22116 23148 24434 33174 36651 44232 46296 48868 62371 66348 73302 97736 109953 124742 132696 146604 187113 219906 249484 293208 374226 439812 498968 561339 748452 879624 1122678 1185049 1496904 2245356 2370098 3555147 4490712 4740196 7110294 9480392 10665441 14220588 21330882 28441176 42661764 85323528