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10828225 = 521133833
BaseRepresentation
bin101001010011…
…100111000001
3202101010112101
4221103213001
510233000400
61024030401
7161016112
oct51234701
922333471
1010828225
116126451
123762401
132321845
14161c209
15e3d56a
hexa539c1

10828225 has 12 divisors (see below), whose sum is σ = 13549356. Its totient is φ = 8583680.

The previous prime is 10828219. The next prime is 10828231. The reversal of 10828225 is 52282801.

It is an interprime number because it is at equal distance from previous prime (10828219) and next prime (10828231).

It can be written as a sum of positive squares in 6 ways, for example, as 3640464 + 7187761 = 1908^2 + 2681^2 .

It is not a de Polignac number, because 10828225 - 211 = 10826177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10828193 and 10828202.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 909 + ... + 4741.

It is an arithmetic number, because the mean of its divisors is an integer number (1129113).

Almost surely, 210828225 is an apocalyptic number.

It is an amenable number.

10828225 is a deficient number, since it is larger than the sum of its proper divisors (2721131).

10828225 is a wasteful number, since it uses less digits than its factorization.

10828225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10828225 is about 3290.6268399805. The cubic root of 10828225 is about 221.2342812840.

The spelling of 10828225 in words is "ten million, eight hundred twenty-eight thousand, two hundred twenty-five".

Divisors: 1 5 25 113 565 2825 3833 19165 95825 433129 2165645 10828225