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82661250 = 235474767
BaseRepresentation
bin1001110110101…
…00111110000010
312202112121220210
410323110332002
5132130130000
612111414550
72022415620
oct473247602
9182477823
1082661250
1142729691
1223824456
13141827a9
14ad9a510
1573cc350
hex4ed4f82

82661250 has 160 divisors (see below), whose sum is σ = 244721664. Its totient is φ = 18216000.

The previous prime is 82661239. The next prime is 82661251. The reversal of 82661250 is 5216628.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (82661251) 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, 1233717 + ... + 1233783.

Almost surely, 282661250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82661250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122360832).

82661250 is an abundant number, since it is smaller than the sum of its proper divisors (162060414).

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

82661250 is a wasteful number, since it uses less digits than its factorization.

82661250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 82661250 is about 9091.8232494918. The cubic root of 82661250 is about 435.6128236639.

Adding to 82661250 its reverse (5216628), we get a palindrome (87877878).

The spelling of 82661250 in words is "eighty-two million, six hundred sixty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 47 50 67 70 75 94 105 125 134 141 150 175 201 210 235 250 282 329 335 350 375 402 469 470 525 625 658 670 705 750 875 938 987 1005 1050 1175 1250 1407 1410 1645 1675 1750 1875 1974 2010 2345 2350 2625 2814 3149 3290 3350 3525 3750 4375 4690 4935 5025 5250 5875 6298 7035 7050 8225 8375 8750 9447 9870 10050 11725 11750 13125 14070 15745 16450 16750 17625 18894 22043 23450 24675 25125 26250 29375 31490 35175 35250 41125 41875 44086 47235 49350 50250 58625 58750 66129 70350 78725 82250 83750 88125 94470 110215 117250 123375 125625 132258 157450 175875 176250 205625 220430 236175 246750 251250 293125 330645 351750 393625 411250 472350 551075 586250 616875 661290 787250 879375 1102150 1180875 1233750 1653225 1758750 1968125 2361750 2755375 3306450 3936250 5510750 5904375 8266125 11808750 13776875 16532250 27553750 41330625 82661250