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490408040 = 23513219281
BaseRepresentation
bin11101001110110…
…000100001101000
31021011210022100202
4131032300201220
52001021024130
6120355051332
715103254023
oct3516604150
91234708322
10490408040
11231905901
121182a0b48
137a7a7195
14491ba1ba
152d0c1145
hex1d3b0868

490408040 has 32 divisors (see below), whose sum is σ = 1104372360. Its totient is φ = 195993600.

The previous prime is 490408033. The next prime is 490408043. The reversal of 490408040 is 40804094.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 490268164 + 139876 = 22142^2 + 374^2 .

It is a junction number, because it is equal to n+sod(n) for n = 490407994 and 490408012.

It is not an unprimeable number, because it can be changed into a prime (490408043) 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 7 ways as a sum of consecutive naturals, for example, 48200 + ... + 57480.

Almost surely, 2490408040 is an apocalyptic number.

490408040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490408040 is an abundant number, since it is smaller than the sum of its proper divisors (613964320).

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

490408040 is a wasteful number, since it uses less digits than its factorization.

490408040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10613 (or 10609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 490408040 is about 22145.1583873315. The cubic root of 490408040 is about 788.5922909209.

It can be divided in two parts, 490 and 408040, that multiplied together give a square (199939600 = 141402).

The spelling of 490408040 in words is "four hundred ninety million, four hundred eight thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1321 2642 5284 6605 9281 10568 13210 18562 26420 37124 46405 52840 74248 92810 185620 371240 12260201 24520402 49040804 61301005 98081608 122602010 245204020 490408040