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8148033 = 3611177
BaseRepresentation
bin11111000101010001000001
3120022222000000
4133011101001
54041214113
6450350213
7126154125
oct37052101
916288000
108148033
114665813
12288b369
1318c392a
141121585
15aae373
hex7c5441

8148033 has 14 divisors (see below), whose sum is σ = 12217554. Its totient is φ = 5431536.

The previous prime is 8148013. The next prime is 8148047. The reversal of 8148033 is 3308418.

It can be written as a sum of positive squares in only one way, i.e., 7884864 + 263169 = 2808^2 + 513^2 .

It is not a de Polignac number, because 8148033 - 212 = 8143937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

8148033 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 8147988 and 8148006.

It is not an unprimeable number, because it can be changed into a prime (8148013) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4860 + ... + 6317.

Almost surely, 28148033 is an apocalyptic number.

It is an amenable number.

8148033 is a deficient number, since it is larger than the sum of its proper divisors (4069521).

8148033 is an equidigital number, since it uses as much as digits as its factorization.

8148033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11195 (or 11180 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8148033 is about 2854.4759589108. The cubic root of 8148033 is about 201.2260766542.

The spelling of 8148033 in words is "eight million, one hundred forty-eight thousand, thirty-three".

Divisors: 1 3 9 27 81 243 729 11177 33531 100593 301779 905337 2716011 8148033