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495050000 = 24559901
BaseRepresentation
bin11101100000011…
…101110100010000
31021111112010221012
4131200131310100
52003213100000
6121042350052
715160566314
oct3540356420
91244463835
10495050000
11234496435
1211995b328
137b740cc3
1449a67b44
152d6db735
hex1d81dd10

495050000 has 60 divisors (see below), whose sum is σ = 1198993572. Its totient is φ = 198000000.

The previous prime is 495049993. The next prime is 495050009. The reversal of 495050000 is 50594.

It can be written as a sum of positive squares in 6 ways, for example, as 278489344 + 216560656 = 16688^2 + 14716^2 .

It is not an unprimeable number, because it can be changed into a prime (495050009) 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, 45050 + ... + 54950.

Almost surely, 2495050000 is an apocalyptic number.

495050000 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 495050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599496786).

495050000 is an abundant number, since it is smaller than the sum of its proper divisors (703943572).

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

495050000 is an frugal number, since it uses more digits than its factorization.

495050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9934 (or 9908 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 495050000 is about 22249.7190993504. The cubic root of 495050000 is about 791.0726229949.

The spelling of 495050000 in words is "four hundred ninety-five million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 3125 5000 6250 9901 10000 12500 19802 25000 39604 49505 50000 79208 99010 158416 198020 247525 396040 495050 792080 990100 1237625 1980200 2475250 3960400 4950500 6188125 9901000 12376250 19802000 24752500 30940625 49505000 61881250 99010000 123762500 247525000 495050000