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85875000 = 23356229
BaseRepresentation
bin1010001111001…
…01100100111000
312222120220100120
411013211210320
5133441000000
612304333240
72061632301
oct507454470
9188526316
1085875000
1144524182
1224914220
1314a39513
14b5957a8
1578146a0
hex51e5938

85875000 has 112 divisors (see below), whose sum is σ = 269527800. Its totient is φ = 22800000.

The previous prime is 85874989. The next prime is 85875001. The reversal of 85875000 is 57858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85875001) 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 27 ways as a sum of consecutive naturals, for example, 374886 + ... + 375114.

Almost surely, 285875000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85875000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134763900).

85875000 is an abundant number, since it is smaller than the sum of its proper divisors (183652800).

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

85875000 is an equidigital number, since it uses as much as digits as its factorization.

85875000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 85875000 is about 9266.8764964253. The cubic root of 85875000 is about 441.1865357181.

The spelling of 85875000 in words is "eighty-five million, eight hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 229 250 300 375 458 500 600 625 687 750 916 1000 1145 1250 1374 1500 1832 1875 2290 2500 2748 3000 3125 3435 3750 4580 5000 5496 5725 6250 6870 7500 9160 9375 11450 12500 13740 15000 15625 17175 18750 22900 25000 27480 28625 31250 34350 37500 45800 46875 57250 62500 68700 75000 85875 93750 114500 125000 137400 143125 171750 187500 229000 286250 343500 375000 429375 572500 687000 715625 858750 1145000 1431250 1717500 2146875 2862500 3435000 3578125 4293750 5725000 7156250 8587500 10734375 14312500 17175000 21468750 28625000 42937500 85875000