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82275750 = 2345317239
BaseRepresentation
bin1001110011101…
…10110110100110
312201211001010000
410321312312212
5132030311000
612055242130
72016221664
oct471666646
9181731100
1082275750
1142495a97
1223679346
131407919b
14acd9c34
157353000
hex4e76da6

82275750 has 160 divisors (see below), whose sum is σ = 244632960. Its totient is φ = 20563200.

The previous prime is 82275701. The next prime is 82275751. The reversal of 82275750 is 5757228.

82275750 is a `hidden beast` number, since 82 + 2 + 7 + 575 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82275751) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 344131 + ... + 344369.

It is an arithmetic number, because the mean of its divisors is an integer number (1528956).

Almost surely, 282275750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82275750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122316480).

82275750 is an abundant number, since it is smaller than the sum of its proper divisors (162357210).

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

82275750 is a wasteful number, since it uses less digits than its factorization.

82275750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 82275750 is about 9070.5981059685. The cubic root of 82275750 is about 434.9345918302.

The spelling of 82275750 in words is "eighty-two million, two hundred seventy-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 81 85 90 102 125 135 150 153 162 170 225 239 250 255 270 306 375 405 425 450 459 478 510 675 717 750 765 810 850 918 1125 1195 1275 1350 1377 1434 1530 2025 2125 2151 2250 2295 2390 2550 2754 3375 3585 3825 4050 4063 4250 4302 4590 5975 6375 6453 6750 6885 7170 7650 8126 10125 10755 11475 11950 12189 12750 12906 13770 17925 19125 19359 20250 20315 21510 22950 24378 29875 32265 34425 35850 36567 38250 38718 40630 53775 57375 59750 60945 64530 68850 73134 89625 96795 101575 107550 109701 114750 121890 161325 172125 179250 182835 193590 203150 219402 268875 304725 322650 329103 344250 365670 483975 507875 537750 548505 609450 658206 806625 914175 967950 1015750 1097010 1523625 1613250 1645515 1828350 2419875 2742525 3047250 3291030 4570875 4839750 5485050 8227575 9141750 13712625 16455150 27425250 41137875 82275750