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285750 = 23253127
BaseRepresentation
bin1000101110000110110
3112111222100
41011300312
533121000
610042530
72300043
oct1056066
9474870
10285750
11185763
12119446
13a00aa
14761ca
1559a00
hex45c36

285750 has 48 divisors (see below), whose sum is σ = 778752. Its totient is φ = 75600.

The previous prime is 285749. The next prime is 285757. The reversal of 285750 is 57582.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (16224).

2285750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389376).

285750 is an abundant number, since it is smaller than the sum of its proper divisors (493002).

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

285750 is a wasteful number, since it uses less digits than its factorization.

285750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 285750 is about 534.5558904362. Note that the first 3 decimals coincide. The cubic root of 285750 is about 65.8661197938.

It can be divided in two parts, 285 and 750, that added together give a triangular number (1035 = T45).

The spelling of 285750 in words is "two hundred eighty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 127 150 225 250 254 375 381 450 635 750 762 1125 1143 1270 1905 2250 2286 3175 3810 5715 6350 9525 11430 15875 19050 28575 31750 47625 57150 95250 142875 285750