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10435825 = 521014133
BaseRepresentation
bin100111110011…
…110011110001
3201122012021001
4213303303301
510132421300
61011402001
7154463101
oct47636361
921565231
1010435825
115988654
1235b3301
13221505a
141559201
15db216a
hex9f3cf1

10435825 has 12 divisors (see below), whose sum is σ = 13071708. Its totient is φ = 8264000.

The previous prime is 10435823. The next prime is 10435829. The reversal of 10435825 is 52853401.

10435825 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 776161 + 9659664 = 881^2 + 3108^2 .

It is not a de Polignac number, because 10435825 - 21 = 10435823 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10435793 and 10435802.

It is not an unprimeable number, because it can be changed into a prime (10435823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459 + ... + 4591.

It is an arithmetic number, because the mean of its divisors is an integer number (1089309).

Almost surely, 210435825 is an apocalyptic number.

It is an amenable number.

10435825 is a deficient number, since it is larger than the sum of its proper divisors (2635883).

10435825 is a wasteful number, since it uses less digits than its factorization.

10435825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 10435825 is about 3230.4527546460. The cubic root of 10435825 is about 218.5289249498.

The spelling of 10435825 in words is "ten million, four hundred thirty-five thousand, eight hundred twenty-five".

Divisors: 1 5 25 101 505 2525 4133 20665 103325 417433 2087165 10435825