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85597050 = 23527117411
BaseRepresentation
bin1010001101000…
…01101101111010
312222001210002010
411012201231322
5133403101200
612254350350
72056364040
oct506415572
9188053063
1085597050
1144354370
12247bb3b6
131496cb56
14b522390
1577ac150
hex51a1b7a

85597050 has 96 divisors (see below), whose sum is σ = 264697344. Its totient is φ = 17784000.

The previous prime is 85597013. The next prime is 85597051. The reversal of 85597050 is 5079558.

It is not an unprimeable number, because it can be changed into a prime (85597051) 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, 7845 + ... + 15255.

It is an arithmetic number, because the mean of its divisors is an integer number (2757264).

Almost surely, 285597050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85597050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132348672).

85597050 is an abundant number, since it is smaller than the sum of its proper divisors (179100294).

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

85597050 is a wasteful number, since it uses less digits than its factorization.

85597050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7444 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 39.

The square root of 85597050 is about 9251.8673790754. The cubic root of 85597050 is about 440.7100278544.

The spelling of 85597050 in words is "eighty-five million, five hundred ninety-seven thousand, fifty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 525 550 770 825 1050 1155 1650 1925 2310 3850 5775 7411 11550 14822 22233 37055 44466 51877 74110 81521 103754 111165 155631 163042 185275 222330 244563 259385 311262 370550 407605 489126 518770 555825 570647 778155 815210 1111650 1141294 1222815 1296925 1556310 1711941 2038025 2445630 2593850 2853235 3423882 3890775 4076050 5706470 6114075 7781550 8559705 12228150 14266175 17119410 28532350 42798525 85597050