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12445248 = 263531223
BaseRepresentation
bin101111011110…
…011001000000
3212102021200010
4233132121000
511141221443
61122424520
7210532344
oct57363100
925367603
1012445248
117030332
124202140
13276986a
14191d624
15115c733
hexbde640

12445248 has 56 divisors (see below), whose sum is σ = 33576768. Its totient is φ = 4066816.

The previous prime is 12445187. The next prime is 12445249. The reversal of 12445248 is 84254421.

12445248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12445249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9565 + ... + 10787.

Almost surely, 212445248 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 12445248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16788384).

12445248 is an abundant number, since it is smaller than the sum of its proper divisors (21131520).

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

12445248 is a wasteful number, since it uses less digits than its factorization.

12445248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1281 counting only the distinct ones).

The product of its digits is 10240, while the sum is 30.

The square root of 12445248 is about 3527.7823062088. The cubic root of 12445248 is about 231.7400973741.

Adding to 12445248 its reverse (84254421), we get a palindrome (96699669).

It can be divided in two parts, 124452 and 48, that multiplied together give a triangular number (5973696 = T3456).

The spelling of 12445248 in words is "twelve million, four hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1223 1272 1696 2446 2544 3392 3669 4892 5088 7338 9784 10176 14676 19568 29352 39136 58704 64819 78272 117408 129638 194457 234816 259276 388914 518552 777828 1037104 1555656 2074208 3111312 4148416 6222624 12445248