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8272 = 241147
BaseRepresentation
bin10000001010000
3102100101
42001100
5231042
6102144
733055
oct20120
912311
108272
116240
124954
1339c4
14302c
1526b7
hex2050

8272 has 20 divisors (see below), whose sum is σ = 17856. Its totient is φ = 3680.

The previous prime is 8269. The next prime is 8273. The reversal of 8272 is 2728.

8272 = 33 + 43 + ... + 133.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153 + ... + 199.

28272 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 8272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

8272 is an abundant number, since it is smaller than the sum of its proper divisors (9584).

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

8272 is a wasteful number, since it uses less digits than its factorization.

8272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 60 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 8272 is about 90.9505360072. The cubic root of 8272 is about 20.2241452281.

The spelling of 8272 in words is "eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 4136 8272