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285825 = 35237103
BaseRepresentation
bin1000101110010000001
3112112002010
41011302001
533121300
610043133
72300211
oct1056201
9475063
10285825
11185821
121194a9
13a0137
1476241
1559a50
hex45c81

285825 has 24 divisors (see below), whose sum is σ = 490048. Its totient is φ = 146880.

The previous prime is 285823. The next prime is 285827. The reversal of 285825 is 528582.

It is an interprime number because it is at equal distance from previous prime (285823) and next prime (285827).

It is not a de Polignac number, because 285825 - 21 = 285823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 285792 and 285801.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285825.

It is not an unprimeable number, because it can be changed into a prime (285823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2724 + ... + 2826.

2285825 is an apocalyptic number.

285825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

285825 is the 309-th octagonal number.

It is an amenable number.

285825 is a deficient number, since it is larger than the sum of its proper divisors (204223).

285825 is a wasteful number, since it uses less digits than its factorization.

285825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 148 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 285825 is about 534.6260375253. The cubic root of 285825 is about 65.8718818549.

The spelling of 285825 in words is "two hundred eighty-five thousand, eight hundred twenty-five".

Divisors: 1 3 5 15 25 37 75 103 111 185 309 515 555 925 1545 2575 2775 3811 7725 11433 19055 57165 95275 285825