Search a number
-
+
489823488 = 28327112251
BaseRepresentation
bin11101001100100…
…001110100000000
31021010200121111200
4131030201310000
52000343322423
6120334341200
715065300550
oct3514416400
91233617450
10489823488
11231546700
1211805a800
137a6310ab
14490a7160
152d007d43
hex1d321d00

489823488 has 324 divisors, whose sum is σ = 1781174304. Its totient is φ = 126720000.

The previous prime is 489823483. The next prime is 489823507. The reversal of 489823488 is 884328984.

489823488 is a `hidden beast` number, since 4 + 89 + 82 + 3 + 488 = 666.

It is a super-2 number, since 2×4898234882 = 479854098792972288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (489823483) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1951363 + ... + 1951613.

Almost surely, 2489823488 is an apocalyptic number.

489823488 is a gapful number since it is divisible by the number (48) 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 489823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890587152).

489823488 is an abundant number, since it is smaller than the sum of its proper divisors (1291350816).

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

489823488 is a wasteful number, since it uses less digits than its factorization.

489823488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 489823488 is about 22131.9562623822. The cubic root of 489823488 is about 788.2788400527.

The spelling of 489823488 in words is "four hundred eighty-nine million, eight hundred twenty-three thousand, four hundred eighty-eight".