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484940200 = 235224110061
BaseRepresentation
bin11100111001111…
…001100110101000
31020210111111220011
4130321321212220
51443121041300
6120041541304
715005631553
oct3471714650
91223444804
10484940200
11229810828
121164a4834
1379611484
144859569a
152c890eba
hex1ce799a8

484940200 has 48 divisors (see below), whose sum is σ = 1132276860. Its totient is φ = 193152000.

The previous prime is 484940189. The next prime is 484940201. The reversal of 484940200 is 2049484.

It can be written as a sum of positive squares in 6 ways, for example, as 255296484 + 229643716 = 15978^2 + 15154^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (484940201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43170 + ... + 53230.

Almost surely, 2484940200 is an apocalyptic number.

484940200 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 484940200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566138430).

484940200 is an abundant number, since it is smaller than the sum of its proper divisors (647336660).

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

484940200 is a wasteful number, since it uses less digits than its factorization.

484940200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 484940200 is about 22021.3578146308. The cubic root of 484940200 is about 785.6505081644.

Adding to 484940200 its reverse (2049484), we get a palindrome (486989684).

The spelling of 484940200 in words is "four hundred eighty-four million, nine hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 241 482 964 1205 1928 2410 4820 6025 9640 10061 12050 20122 24100 40244 48200 50305 80488 100610 201220 251525 402440 503050 1006100 2012200 2424701 4849402 9698804 12123505 19397608 24247010 48494020 60617525 96988040 121235050 242470100 484940200