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85485528 = 23321736863
BaseRepresentation
bin1010001100001…
…10011111011000
312221212010002200
411012012133120
5133341014103
612252130200
72055420642
oct506063730
9187763080
1085485528
11442885a7
1224766960
131493116b
14b4d3892
1577890a3
hex51867d8

85485528 has 48 divisors (see below), whose sum is σ = 232895520. Its totient is φ = 28326336.

The previous prime is 85485523. The next prime is 85485529. The reversal of 85485528 is 82558458.

85485528 is a `hidden beast` number, since 85 + 48 + 5 + 528 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85485523) 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 11 ways as a sum of consecutive naturals, for example, 9025 + ... + 15887.

It is an arithmetic number, because the mean of its divisors is an integer number (4851990).

Almost surely, 285485528 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 85485528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116447760).

85485528 is an abundant number, since it is smaller than the sum of its proper divisors (147409992).

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

85485528 is a wasteful number, since it uses less digits than its factorization.

85485528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7048 (or 7041 counting only the distinct ones).

The product of its digits is 512000, while the sum is 45.

The square root of 85485528 is about 9245.8384152006. The cubic root of 85485528 is about 440.5185484203.

The spelling of 85485528 in words is "eighty-five million, four hundred eighty-five thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 4152 6228 6863 12456 13726 20589 27452 41178 54904 61767 82356 123534 164712 247068 494136 1187299 2374598 3561897 4749196 7123794 9498392 10685691 14247588 21371382 28495176 42742764 85485528