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6825152 = 26472269
BaseRepresentation
bin11010000010010011000000
3110211202100102
4122002103000
53221401102
6402141532
7112004255
oct32022300
913752312
106825152
113941924
1223518a8
13154c769
14c9942c
158ec402
hex6824c0

6825152 has 28 divisors (see below), whose sum is σ = 13837920. Its totient is φ = 3338496.

The previous prime is 6825151. The next prime is 6825167. The reversal of 6825152 is 2515286.

It is not an unprimeable number, because it can be changed into a prime (6825151) 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 3 ways as a sum of consecutive naturals, for example, 1874 + ... + 4142.

Almost surely, 26825152 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 6825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6918960).

6825152 is an abundant number, since it is smaller than the sum of its proper divisors (7012768).

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

6825152 is a wasteful number, since it uses less digits than its factorization.

6825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2318 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 6825152 is about 2612.4991866027. The cubic root of 6825152 is about 189.6869452337.

The spelling of 6825152 in words is "six million, eight hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 2269 3008 4538 9076 18152 36304 72608 106643 145216 213286 426572 853144 1706288 3412576 6825152