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85750 = 25373
BaseRepresentation
bin10100111011110110
311100121221
4110323312
510221000
61500554
7505000
oct247366
9140557
1085750
1159475
124175a
1330052
1423370
151a61a
hex14ef6

85750 has 32 divisors (see below), whose sum is σ = 187200. Its totient is φ = 29400.

The previous prime is 85733. The next prime is 85751. The reversal of 85750 is 5758.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85751) by changing a digit.

85750 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 12247 + ... + 12253.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

285750 is an apocalyptic number.

85750 is an abundant number, since it is smaller than the sum of its proper divisors (101450).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

85750 is an equidigital number, since it uses as much as digits as its factorization.

85750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 85750 is about 292.8310092869. The cubic root of 85750 is about 44.0972367463.

The spelling of 85750 in words is "eighty-five thousand, seven hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 125 175 245 250 343 350 490 686 875 1225 1715 1750 2450 3430 6125 8575 12250 17150 42875 85750