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85276000 = 255321319
BaseRepresentation
bin1010001010100…
…11010101100000
312221110110200101
411011103111200
5133312313000
612243432144
72053556035
oct505232540
9187413611
1085276000
1144155137
1224685654
1314889994
14b47b38c
157746e6a
hex5153560

85276000 has 48 divisors (see below), whose sum is σ = 209532960. Its totient is φ = 34108800.

The previous prime is 85275929. The next prime is 85276003. The reversal of 85276000 is 67258.

It is a self number, because there is not a number n which added to its sum of digits gives 85276000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85276003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6660 + ... + 14659.

It is an arithmetic number, because the mean of its divisors is an integer number (4365270).

Almost surely, 285276000 is an apocalyptic number.

85276000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85276000 is an abundant number, since it is smaller than the sum of its proper divisors (124256960).

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

85276000 is a wasteful number, since it uses less digits than its factorization.

85276000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21344 (or 21326 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 85276000 is about 9234.5005279116. The cubic root of 85276000 is about 440.1583452125.

The spelling of 85276000 in words is "eighty-five million, two hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 21319 42638 85276 106595 170552 213190 341104 426380 532975 682208 852760 1065950 1705520 2131900 2664875 3411040 4263800 5329750 8527600 10659500 17055200 21319000 42638000 85276000