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85548150 = 236522347
BaseRepresentation
bin1010001100101…
…01110001110110
312221222022000000
411012111301312
5133400020100
612253332130
72056101342
oct506256166
9187868000
1085548150
1144320656
1224797046
131495380c
14b50c622
15779c900
hex5195c76

85548150 has 84 divisors (see below), whose sum is σ = 238671852. Its totient is φ = 22803120.

The previous prime is 85548121. The next prime is 85548161. The reversal of 85548150 is 5184558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 35277 + ... + 37623.

Almost surely, 285548150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85548150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119335926).

85548150 is an abundant number, since it is smaller than the sum of its proper divisors (153123702).

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

85548150 is a wasteful number, since it uses less digits than its factorization.

85548150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 85548150 is about 9249.2242917987. The cubic root of 85548150 is about 440.6260887252.

The spelling of 85548150 in words is "eighty-five million, five hundred forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1215 1350 1458 2025 2347 2430 3645 4050 4694 6075 7041 7290 11735 12150 14082 18225 21123 23470 35205 36450 42246 58675 63369 70410 105615 117350 126738 176025 190107 211230 316845 352050 380214 528075 570321 633690 950535 1056150 1140642 1584225 1710963 1901070 2851605 3168450 3421926 4752675 5703210 8554815 9505350 14258025 17109630 28516050 42774075 85548150