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6849104 = 24292509
BaseRepresentation
bin11010001000001001010000
3110212222012112
4122020021100
53223132404
6402444452
7112134143
oct32101120
913788175
106849104
113958919
122363728
13155a632
14ca405a
1590456e
hex688250

6849104 has 30 divisors (see below), whose sum is σ = 13770510. Its totient is φ = 3299968.

The previous prime is 6849103. The next prime is 6849119. The reversal of 6849104 is 4019486.

It can be written as a sum of positive squares in 3 ways, for example, as 2096704 + 4752400 = 1448^2 + 2180^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6849103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13202 + ... + 13710.

It is an arithmetic number, because the mean of its divisors is an integer number (459017).

Almost surely, 26849104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6849104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885255).

6849104 is an abundant number, since it is smaller than the sum of its proper divisors (6921406).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6849104 is a wasteful number, since it uses less digits than its factorization.

6849104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 6849104 is about 2617.0792880614. The cubic root of 6849104 is about 189.9085802119.

The spelling of 6849104 in words is "six million, eight hundred forty-nine thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 509 841 1018 1682 2036 3364 4072 6728 8144 13456 14761 29522 59044 118088 236176 428069 856138 1712276 3424552 6849104