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85982550 = 2352619397
BaseRepresentation
bin1010001111111…
…11110101010110
312222210100212220
411013333311112
5134002420200
612310523210
72062560663
oct507776526
9188710786
1085982550
1144597a65
1224966506
1314a76464
14b5c2a6a
1578364a0
hex51ffd56

85982550 has 48 divisors (see below), whose sum is σ = 216755472. Its totient is φ = 22550400.

The previous prime is 85982537. The next prime is 85982551. The reversal of 85982550 is 5528958.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85982551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4452 + ... + 13848.

It is an arithmetic number, because the mean of its divisors is an integer number (4515739).

Almost surely, 285982550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85982550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108377736).

85982550 is an abundant number, since it is smaller than the sum of its proper divisors (130772922).

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

85982550 is a wasteful number, since it uses less digits than its factorization.

85982550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9473 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 85982550 is about 9272.6776068189. The cubic root of 85982550 is about 441.3706398114.

The spelling of 85982550 in words is "eighty-five million, nine hundred eighty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 610 915 1525 1830 3050 4575 9150 9397 18794 28191 46985 56382 93970 140955 234925 281910 469850 573217 704775 1146434 1409550 1719651 2866085 3439302 5732170 8598255 14330425 17196510 28660850 42991275 85982550