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85850800 = 2452730661
BaseRepresentation
bin1010001110111…
…11101010110000
312222112200011021
411013133222300
5133434211200
612304025224
72061501610
oct507375260
9188480137
1085850800
1144507a82
1224902214
1314a2b4b9
14b58aa40
15780c41a
hex51dfab0

85850800 has 60 divisors (see below), whose sum is σ = 235729456. Its totient is φ = 29433600.

The previous prime is 85850783. The next prime is 85850803. The reversal of 85850800 is 805858.

It is not an unprimeable number, because it can be changed into a prime (85850803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12531 + ... + 18130.

Almost surely, 285850800 is an apocalyptic number.

85850800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85850800 is an abundant number, since it is smaller than the sum of its proper divisors (149878656).

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

85850800 is a wasteful number, since it uses less digits than its factorization.

85850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30686 (or 30675 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 34.

The square root of 85850800 is about 9265.5706785929. The cubic root of 85850800 is about 441.1450889748.

The spelling of 85850800 in words is "eighty-five million, eight hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 30661 61322 122644 153305 214627 245288 306610 429254 490576 613220 766525 858508 1073135 1226440 1533050 1717016 2146270 2452880 3066100 3434032 4292540 5365675 6132200 8585080 10731350 12264400 17170160 21462700 42925400 85850800