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12528216 = 2333311871
BaseRepresentation
bin101111110010…
…101001011000
3212120111111000
4233302221120
511201400331
61124305000
7211326261
oct57625130
925514430
1012528216
1170876a8
124242160
13279855c
141941968
1511770e6
hexbf2a58

12528216 has 64 divisors (see below), whose sum is σ = 35942400. Its totient is φ = 4039200.

The previous prime is 12528211. The next prime is 12528227. The reversal of 12528216 is 61282521.

It is a happy number.

It is a super-2 number, since 2×125282162 = 313912392285312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12528216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12528211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761 + ... + 7631.

It is an arithmetic number, because the mean of its divisors is an integer number (561600).

Almost surely, 212528216 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 12528216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

12528216 is an abundant number, since it is smaller than the sum of its proper divisors (23414184).

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

12528216 is a wasteful number, since it uses less digits than its factorization.

12528216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1907 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 12528216 is about 3539.5220016268. The cubic root of 12528216 is about 232.2539332150.

The spelling of 12528216 in words is "twelve million, five hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 1871 2232 3348 3742 5613 6696 7484 11226 14968 16839 22452 33678 44904 50517 58001 67356 101034 116002 134712 174003 202068 232004 348006 404136 464008 522009 696012 1044018 1392024 1566027 2088036 3132054 4176072 6264108 12528216