Search a number
-
+
285889500 = 22355313181
BaseRepresentation
bin10001000010100…
…101001111011100
3201220221200200000
4101002211033130
51041141431000
644211334300
710041010041
oct2102451734
9656850600
10285889500
11137417016
127b8b1390
13472ca2b0
1429d7d1c8
151a173000
hex110a53dc

285889500 has 288 divisors, whose sum is σ = 1012799424. Its totient is φ = 69984000.

The previous prime is 285889481. The next prime is 285889507. The reversal of 285889500 is 5988582.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285889507) 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 95 ways as a sum of consecutive naturals, for example, 1579410 + ... + 1579590.

Almost surely, 2285889500 is an apocalyptic number.

285889500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285889500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506399712).

285889500 is an abundant number, since it is smaller than the sum of its proper divisors (726909924).

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

285889500 is a wasteful number, since it uses less digits than its factorization.

285889500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 285889500 is about 16908.2672086764. The cubic root of 285889500 is about 658.7683642129.

The spelling of 285889500 in words is "two hundred eighty-five million, eight hundred eighty-nine thousand, five hundred".