Search a number
-
+
490949865 = 32572534201
BaseRepresentation
bin11101010000110…
…100110011101001
31021012210211121100
4131100310303221
52001140343430
6120414432013
715111001500
oct3520646351
91235724540
10490949865
1123214599a
12118502609
137a9369a3
14492bb837
152d17b960
hex1d434ce9

490949865 has 72 divisors (see below), whose sum is σ = 1008832968. Its totient is φ = 220147200.

The previous prime is 490949839. The next prime is 490949909. The reversal of 490949865 is 568949094.

490949865 is a `hidden beast` number, since 4 + 90 + 9 + 498 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 477903321 = 3612^2 + 21861^2 .

It is not a de Polignac number, because 490949865 - 26 = 490949801 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114765 + ... + 118965.

It is an arithmetic number, because the mean of its divisors is an integer number (14011569).

Almost surely, 2490949865 is an apocalyptic number.

490949865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490949865 is an abundant number, since it is smaller than the sum of its proper divisors (517883103).

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

490949865 is a wasteful number, since it uses less digits than its factorization.

490949865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 490949865 is about 22157.3884968423. The cubic root of 490949865 is about 788.8826081810.

The spelling of 490949865 in words is "four hundred ninety million, nine hundred forty-nine thousand, eight hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 53 63 105 147 159 245 265 315 371 441 477 735 795 1113 1855 2205 2385 2597 3339 4201 5565 7791 12603 12985 16695 21005 23373 29407 37809 38955 63015 88221 116865 147035 189045 205849 222653 264663 441105 617547 667959 1029245 1113265 1323315 1558571 1852641 2003877 3087735 3339795 4675713 7792855 9263205 10019385 10909997 14027139 23378565 32729991 54549985 70135695 98189973 163649955 490949865