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6413216 = 251711789
BaseRepresentation
bin11000011101101110100000
3110001211021112
4120131232200
53120210331
6345242452
7105340265
oct30355640
913054245
106413216
113690387
122193428
131437104
14bcd26c
1586a32b
hex61dba0

6413216 has 24 divisors (see below), whose sum is σ = 13369860. Its totient is φ = 3017728.

The previous prime is 6413213. The next prime is 6413219. The reversal of 6413216 is 6123146.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6413213) and next prime (6413219).

It can be written as a sum of positive squares in 2 ways, for example, as 6250000 + 163216 = 2500^2 + 404^2 .

It is a super-2 number, since 2×64132162 = 82258678925312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6413191 and 6413200.

It is not an unprimeable number, because it can be changed into a prime (6413213) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5351 + ... + 6438.

Almost surely, 26413216 is an apocalyptic number.

It is an amenable number.

6413216 is an abundant number, since it is smaller than the sum of its proper divisors (6956644).

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

6413216 is a wasteful number, since it uses less digits than its factorization.

6413216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11816 (or 11808 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 6413216 is about 2532.4328224062. The cubic root of 6413216 is about 185.7912638899.

The spelling of 6413216 in words is "six million, four hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 11789 23578 47156 94312 188624 200413 377248 400826 801652 1603304 3206608 6413216