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9830250 = 2325317257
BaseRepresentation
bin100101011111…
…111101101010
3200111102120100
4211133331222
510004032000
6550410230
7146361423
oct45377552
920442510
109830250
115604681
123360976
132062521
14143c64a
15ce2a00
hex95ff6a

9830250 has 96 divisors (see below), whose sum is σ = 28254096. Its totient is φ = 2457600.

The previous prime is 9830243. The next prime is 9830257. The reversal of 9830250 is 520389.

It is an interprime number because it is at equal distance from previous prime (9830243) and next prime (9830257).

It can be written as a sum of positive squares in 8 ways, for example, as 3674889 + 6155361 = 1917^2 + 2481^2 .

It is not an unprimeable number, because it can be changed into a prime (9830257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38122 + ... + 38378.

Almost surely, 29830250 is an apocalyptic number.

9830250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9830250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127048).

9830250 is an abundant number, since it is smaller than the sum of its proper divisors (18423846).

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

9830250 is a wasteful number, since it uses less digits than its factorization.

9830250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 9830250 is about 3135.3229498729. The cubic root of 9830250 is about 214.2174544489.

The spelling of 9830250 in words is "nine million, eight hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 125 150 153 170 225 250 255 257 306 375 425 450 510 514 750 765 771 850 1125 1275 1285 1530 1542 2125 2250 2313 2550 2570 3825 3855 4250 4369 4626 6375 6425 7650 7710 8738 11565 12750 12850 13107 19125 19275 21845 23130 26214 32125 38250 38550 39321 43690 57825 64250 65535 78642 96375 109225 115650 131070 192750 196605 218450 289125 327675 393210 546125 578250 655350 983025 1092250 1638375 1966050 3276750 4915125 9830250