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6825252 = 2237193421
BaseRepresentation
bin11010000010010100100100
3110211202111010
4122002110210
53221402002
6402142220
7112004460
oct32022444
913752433
106825252
113941a05
122351970
13154c815
14c994a0
158ec46c
hex682524

6825252 has 48 divisors (see below), whose sum is σ = 18338432. Its totient is φ = 1935360.

The previous prime is 6825251. The next prime is 6825257. The reversal of 6825252 is 2525286.

It is not an unprimeable number, because it can be changed into a prime (6825251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16002 + ... + 16422.

Almost surely, 26825252 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 6825252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9169216).

6825252 is an abundant number, since it is smaller than the sum of its proper divisors (11513180).

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

6825252 is a wasteful number, since it uses less digits than its factorization.

6825252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 626 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 6825252 is about 2612.5183252946. The cubic root of 6825252 is about 189.6878716405.

The spelling of 6825252 in words is "six million, eight hundred twenty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 421 579 772 842 1158 1263 1351 1684 2316 2526 2702 2947 4053 5052 5404 5894 8106 8841 11788 16212 17682 35364 81253 162506 243759 325012 487518 568771 975036 1137542 1706313 2275084 3412626 6825252