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10385833 = 41432137
BaseRepresentation
bin100111100111…
…100110101001
3201112122200111
4213213212221
510124321313
61010334321
7154164253
oct47474651
921478614
1010385833
115954037
12358a3a1
1321c8383
141544cd3
15da243d
hex9e79a9

10385833 has 12 divisors (see below), whose sum is σ = 10971828. Its totient is φ = 9824640.

The previous prime is 10385831. The next prime is 10385839. The reversal of 10385833 is 33858301.

It can be written as a sum of positive squares in 2 ways, for example, as 2812329 + 7573504 = 1677^2 + 2752^2 .

It is not a de Polignac number, because 10385833 - 21 = 10385831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10385795 and 10385804.

It is not an unprimeable number, because it can be changed into a prime (10385831) 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, 75741 + ... + 75877.

It is an arithmetic number, because the mean of its divisors is an integer number (914319).

Almost surely, 210385833 is an apocalyptic number.

It is an amenable number.

10385833 is a deficient number, since it is larger than the sum of its proper divisors (585995).

10385833 is an equidigital number, since it uses as much as digits as its factorization.

10385833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 10385833 is about 3222.7058506789. The cubic root of 10385833 is about 218.1794177082.

The spelling of 10385833 in words is "ten million, three hundred eighty-five thousand, eight hundred thirty-three".

Divisors: 1 41 43 137 1763 1849 5617 5891 75809 241531 253313 10385833