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85898800 = 24521316519
BaseRepresentation
bin1010001111010…
…11011000110000
312222122010000001
411013223120300
5133442230200
612305035344
72062061551
oct507533060
9188563001
1085898800
1144540049
1224925b54
1314a472c0
14b5a0328
15781b76a
hex51eb630

85898800 has 60 divisors (see below), whose sum is σ = 222260080. Its totient is φ = 31714560.

The previous prime is 85898789. The next prime is 85898801. The reversal of 85898800 is 889858.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (85898801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3060 + ... + 13459.

Almost surely, 285898800 is an apocalyptic number.

85898800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85898800 is an abundant number, since it is smaller than the sum of its proper divisors (136361280).

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

85898800 is a wasteful number, since it uses less digits than its factorization.

85898800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16550 (or 16539 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 46.

The square root of 85898800 is about 9268.1605510479. The cubic root of 85898800 is about 441.2272897973.

The spelling of 85898800 in words is "eighty-five million, eight hundred ninety-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 16519 33038 66076 82595 132152 165190 214747 264304 330380 412975 429494 660760 825950 858988 1073735 1321520 1651900 1717976 2147470 3303800 3435952 4294940 5368675 6607600 8589880 10737350 17179760 21474700 42949400 85898800