Search a number
-
+
490000000 = 275772
BaseRepresentation
bin11101001101001…
…100111010000000
31021011000120122011
4131031030322000
52000420000000
6120342222304
715066634300
oct3515147200
91234016564
10490000000
11231657286
12118124994
137a693539
1449111600
152d0402ba
hex1d34ce80

490000000 has 192 divisors, whose sum is σ = 1419429960. Its totient is φ = 168000000.

The previous prime is 489999997. The next prime is 490000001. The reversal of 490000000 is 94.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 295564864 + 194435136 = 17192^2 + 13944^2 .

It is not an unprimeable number, because it can be changed into a prime (490000001) 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, 69999997 + ... + 70000003.

Almost surely, 2490000000 is an apocalyptic number.

490000000 is a gapful number since it is divisible by the number (40) 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 490000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709714980).

490000000 is an abundant number, since it is smaller than the sum of its proper divisors (929429960).

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

490000000 is an frugal number, since it uses more digits than its factorization.

490000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 490000000 is about 22135.9436211787. The cubic root of 490000000 is about 788.3735163105.

Adding to 490000000 its reverse (94), we get a palindrome (490000094).

The spelling of 490000000 in words is "four hundred ninety million", and thus it is an aban number.