Search a number
-
+
1825812 = 2232411237
BaseRepresentation
bin110111101110000010100
310102202112200
412331300110
5431411222
6103044500
721343032
oct6756024
93382480
101825812
11103783a
12740730
134bc081
14357552
15260eac
hex1bdc14

1825812 has 36 divisors (see below), whose sum is σ = 4731636. Its totient is φ = 593280.

The previous prime is 1825787. The next prime is 1825819. The reversal of 1825812 is 2185281.

1825812 is a `hidden beast` number, since 1 + 82 + 581 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 1179396 = 804^2 + 1086^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1825819) 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 11 ways as a sum of consecutive naturals, for example, 858 + ... + 2094.

21825812 is an apocalyptic number.

1825812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365818).

1825812 is an abundant number, since it is smaller than the sum of its proper divisors (2905824).

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

1825812 is a wasteful number, since it uses less digits than its factorization.

1825812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 1825812 is about 1351.2261098721. The cubic root of 1825812 is about 122.2227409834. Note that the first 3 decimals are identical.

The spelling of 1825812 in words is "one million, eight hundred twenty-five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1237 1476 2474 3711 4948 7422 11133 14844 22266 44532 50717 101434 152151 202868 304302 456453 608604 912906 1825812