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85843280 = 2452693989
BaseRepresentation
bin1010001110111…
…01110101010000
312222112021211202
411013131311100
5133433441110
612303530332
72061440645
oct507356520
9188467752
1085843280
1144502366
12248b99a8
1314a27c53
14b587dcc
15780a0a5
hex51ddd50

85843280 has 40 divisors (see below), whose sum is σ = 200377800. Its totient is φ = 34201088.

The previous prime is 85843267. The next prime is 85843321. The reversal of 85843280 is 8234858.

It can be written as a sum of positive squares in 4 ways, for example, as 169744 + 85673536 = 412^2 + 9256^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19526 + ... + 23514.

It is an arithmetic number, because the mean of its divisors is an integer number (5009445).

Almost surely, 285843280 is an apocalyptic number.

85843280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85843280 is an abundant number, since it is smaller than the sum of its proper divisors (114534520).

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

85843280 is a wasteful number, since it uses less digits than its factorization.

85843280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4271 (or 4265 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 85843280 is about 9265.1648663151. The cubic root of 85843280 is about 441.1322080700.

The spelling of 85843280 in words is "eighty-five million, eight hundred forty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 269 538 1076 1345 2152 2690 3989 4304 5380 7978 10760 15956 19945 21520 31912 39890 63824 79780 159560 319120 1073041 2146082 4292164 5365205 8584328 10730410 17168656 21460820 42921640 85843280