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12281152 = 261329509
BaseRepresentation
bin101110110110…
…010101000000
3212002221120111
4232312111000
511120444102
61115121104
7206250052
oct56662500
925087514
1012281152
116a29014
124143194
13270cc70
1418b98d2
151128cd7
hexbb6540

12281152 has 56 divisors (see below), whose sum is σ = 27203400. Its totient is φ = 5462016.

The previous prime is 12281141. The next prime is 12281161. The reversal of 12281152 is 25118221.

It can be written as a sum of positive squares in 4 ways, for example, as 1679616 + 10601536 = 1296^2 + 3256^2 .

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23874 + ... + 24382.

It is an arithmetic number, because the mean of its divisors is an integer number (485775).

Almost surely, 212281152 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 12281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601700).

12281152 is an abundant number, since it is smaller than the sum of its proper divisors (14922248).

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

12281152 is a wasteful number, since it uses less digits than its factorization.

12281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its digits is 320, while the sum is 22.

The square root of 12281152 is about 3504.4474600142. The cubic root of 12281152 is about 230.7170564214.

Adding to 12281152 its reverse (25118221), we get a palindrome (37399373).

The spelling of 12281152 in words is "twelve million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 208 232 377 416 464 509 754 832 928 1018 1508 1856 2036 3016 4072 6032 6617 8144 12064 13234 14761 16288 24128 26468 29522 32576 52936 59044 105872 118088 191893 211744 236176 383786 423488 472352 767572 944704 1535144 3070288 6140576 12281152