Search a number
-
+
85005500 = 2253197863
BaseRepresentation
bin1010001000100…
…01010010111100
312220221201121212
411010101102330
5133230134000
612233543552
72051351306
oct504212274
9186851555
1085005500
1143a8a988
1224574bb8
13147c3818
14b40a976
1576e1c35
hex51114bc

85005500 has 48 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 33790400.

The previous prime is 85005461. The next prime is 85005511. The reversal of 85005500 is 550058.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98069 + ... + 98931.

It is an arithmetic number, because the mean of its divisors is an integer number (3891888).

Almost surely, 285005500 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 85005500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

85005500 is an abundant number, since it is smaller than the sum of its proper divisors (101805124).

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

85005500 is a wasteful number, since it uses less digits than its factorization.

85005500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 85005500 is about 9219.8427318474. The cubic root of 85005500 is about 439.6924503694.

Adding to 85005500 its reverse (550058), we get a palindrome (85555558).

The spelling of 85005500 in words is "eighty-five million, five thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 250 394 500 788 863 985 1726 1970 3452 3940 4315 4925 8630 9850 17260 19700 21575 24625 43150 49250 86300 98500 107875 170011 215750 340022 431500 680044 850055 1700110 3400220 4250275 8500550 17001100 21251375 42502750 85005500