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85279000 = 2353107797
BaseRepresentation
bin1010001010101…
…00000100011000
312221110121210111
411011110010120
5133312412000
612243454104
72053600552
oct505240430
9187417714
1085279000
1144157414
1224687334
131488b161
14b47c4d2
157747cba
hex5154118

85279000 has 64 divisors (see below), whose sum is σ = 201670560. Its totient is φ = 33750400.

The previous prime is 85278997. The next prime is 85279003. The reversal of 85279000 is 97258.

It is an interprime number because it is at equal distance from previous prime (85278997) and next prime (85279003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85279003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106602 + ... + 107398.

Almost surely, 285279000 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 85279000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835280).

85279000 is an abundant number, since it is smaller than the sum of its proper divisors (116391560).

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

85279000 is a wasteful number, since it uses less digits than its factorization.

85279000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 85279000 is about 9234.6629608232. The cubic root of 85279000 is about 440.1635067255.

The spelling of 85279000 in words is "eighty-five million, two hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 797 856 1000 1070 1594 2140 2675 3188 3985 4280 5350 6376 7970 10700 13375 15940 19925 21400 26750 31880 39850 53500 79700 85279 99625 107000 159400 170558 199250 341116 398500 426395 682232 797000 852790 1705580 2131975 3411160 4263950 8527900 10659875 17055800 21319750 42639500 85279000