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1813825 = 52135581
BaseRepresentation
bin110111010110101000001
310102011002201
412322311001
5431020300
6102513201
721263056
oct6726501
93364081
101813825
111029832
12735801
134b6790
1435302d
1525c66a
hex1bad41

1813825 has 12 divisors (see below), whose sum is σ = 2422588. Its totient is φ = 1339200.

The previous prime is 1813817. The next prime is 1813829. The reversal of 1813825 is 5283181.

It can be written as a sum of positive squares in 6 ways, for example, as 318096 + 1495729 = 564^2 + 1223^2 .

It is not a de Polignac number, because 1813825 - 23 = 1813817 is a prime.

It is a super-2 number, since 2×18138252 = 6579922261250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1813793 and 1813802.

It is not an unprimeable number, because it can be changed into a prime (1813829) 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, 2466 + ... + 3115.

21813825 is an apocalyptic number.

It is an amenable number.

1813825 is a deficient number, since it is larger than the sum of its proper divisors (608763).

1813825 is a wasteful number, since it uses less digits than its factorization.

1813825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5599 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 1813825 is about 1346.7832045285. The cubic root of 1813825 is about 121.9546772434.

The spelling of 1813825 in words is "one million, eight hundred thirteen thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 65 325 5581 27905 72553 139525 362765 1813825