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490268250 = 232531931129
BaseRepresentation
bin11101001110001…
…110011001011010
31021011112012121100
4131032032121122
52001002041000
6120352052230
715102132333
oct3516163132
91234465540
10490268250
1123181a87a
12118234076
137a758674
144918128a
152d094a00
hex1d38e65a

490268250 has 96 divisors (see below), whose sum is σ = 1333734480. Its totient is φ = 129945600.

The previous prime is 490268243. The next prime is 490268269. The reversal of 490268250 is 52862094.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19421649 + 470846601 = 4407^2 + 21699^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 433686 + ... + 434814.

Almost surely, 2490268250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490268250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666867240).

490268250 is an abundant number, since it is smaller than the sum of its proper divisors (843466230).

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

490268250 is a wasteful number, since it uses less digits than its factorization.

490268250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 490268250 is about 22142.0019420106. The cubic root of 490268250 is about 788.5173548246.

The spelling of 490268250 in words is "four hundred ninety million, two hundred sixty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 193 225 250 375 386 450 579 750 965 1125 1129 1158 1737 1930 2250 2258 2895 3387 3474 4825 5645 5790 6774 8685 9650 10161 11290 14475 16935 17370 20322 24125 28225 28950 33870 43425 48250 50805 56450 72375 84675 86850 101610 141125 144750 169350 217125 217897 254025 282250 423375 434250 435794 508050 653691 846750 1089485 1270125 1307382 1961073 2178970 2540250 3268455 3922146 5447425 6536910 9805365 10894850 16342275 19610730 27237125 32684550 49026825 54474250 81711375 98053650 163422750 245134125 490268250