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8427272 = 237612467
BaseRepresentation
bin100000001001…
…011100001000
3120212011001012
4200021130020
54124133042
6500343052
7131426210
oct40113410
916764035
108427272
114836597
1229a4a88
131990a69
141195240
15b16e82
hex809708

8427272 has 32 divisors (see below), whose sum is σ = 18361920. Its totient is φ = 3551040.

The previous prime is 8427271. The next prime is 8427283. The reversal of 8427272 is 2727248.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 83 + 47 + 29 + 74 + 211 + 75 + 223 .

It is not an unprimeable number, because it can be changed into a prime (8427271) 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 7 ways as a sum of consecutive naturals, for example, 2183 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (573810).

Almost surely, 28427272 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 8427272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180960).

8427272 is an abundant number, since it is smaller than the sum of its proper divisors (9934648).

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

8427272 is a wasteful number, since it uses less digits than its factorization.

8427272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2537 counting only the distinct ones).

The product of its digits is 12544, while the sum is 32.

The square root of 8427272 is about 2902.9764036244. The cubic root of 8427272 is about 203.4990270546.

The spelling of 8427272 in words is "eight million, four hundred twenty-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 61 122 244 427 488 854 1708 2467 3416 4934 9868 17269 19736 34538 69076 138152 150487 300974 601948 1053409 1203896 2106818 4213636 8427272