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499600000 = 27551249
BaseRepresentation
bin11101110001110…
…100101010000000
31021211002022100201
4131301310222000
52010344200000
6121324054544
715244346524
oct3561645200
91254068321
10499600000
11237013969
1211b394454
137c675003
144a4cdd84
152dcd996a
hex1dc74a80

499600000 has 96 divisors (see below), whose sum is σ = 1245037500. Its totient is φ = 199680000.

The previous prime is 499599977. The next prime is 499600009. The reversal of 499600000 is 6994.

It can be written as a sum of positive squares in 6 ways, for example, as 75898944 + 423701056 = 8712^2 + 20584^2 .

It is not an unprimeable number, because it can be changed into a prime (499600009) 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, 399376 + ... + 400624.

Almost surely, 2499600000 is an apocalyptic number.

499600000 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 499600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622518750).

499600000 is an abundant number, since it is smaller than the sum of its proper divisors (745437500).

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

499600000 is an frugal number, since it uses more digits than its factorization.

499600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 499600000 is about 22351.7337135176. The cubic root of 499600000 is about 793.4888160445.

Adding to 499600000 its reverse (6994), we get a palindrome (499606994).

The spelling of 499600000 in words is "four hundred ninety-nine million, six hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1249 1250 1600 2000 2498 2500 3125 3200 4000 4996 5000 6245 6250 8000 9992 10000 12490 12500 16000 19984 20000 24980 25000 31225 39968 40000 49960 50000 62450 79936 80000 99920 100000 124900 156125 159872 199840 200000 249800 312250 399680 400000 499600 624500 780625 799360 999200 1249000 1561250 1998400 2498000 3122500 3903125 3996800 4996000 6245000 7806250 9992000 12490000 15612500 19984000 24980000 31225000 49960000 62450000 99920000 124900000 249800000 499600000