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490067800 = 235219112829
BaseRepresentation
bin11101001101011…
…101011101011000
31021011011000122021
4131031131131120
52000424132200
6120343504224
715100336045
oct3515353530
91234130567
10490067800
112316a3212
12118158074
137a6b8361
144912c1cc
152d05541a
hex1d35d758

490067800 has 48 divisors (see below), whose sum is σ = 1145462400. Its totient is φ = 194985600.

The previous prime is 490067797. The next prime is 490067819. The reversal of 490067800 is 8760094.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31786 + ... + 44614.

It is an arithmetic number, because the mean of its divisors is an integer number (23863800).

Almost surely, 2490067800 is an apocalyptic number.

490067800 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 490067800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572731200).

490067800 is an abundant number, since it is smaller than the sum of its proper divisors (655394600).

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

490067800 is a wasteful number, since it uses less digits than its factorization.

490067800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036 (or 13027 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 490067800 is about 22137.4750141022. The cubic root of 490067800 is about 788.4098763508.

The spelling of 490067800 in words is "four hundred ninety million, sixty-seven thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 191 200 382 764 955 1528 1910 3820 4775 7640 9550 12829 19100 25658 38200 51316 64145 102632 128290 256580 320725 513160 641450 1282900 2450339 2565800 4900678 9801356 12251695 19602712 24503390 49006780 61258475 98013560 122516950 245033900 490067800