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12237472 = 2513231279
BaseRepresentation
bin101110101011…
…101010100000
3212000201122201
4232223222200
511113044342
61114142544
7206005522
oct56535240
925021581
1012237472
1169a9215
124121a54
1326c6110
1418a7a12
15111adb7
hexbabaa0

12237472 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 5398272.

The previous prime is 12237469. The next prime is 12237479. The reversal of 12237472 is 27473221.

12237472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12237472.

It is not an unprimeable number, because it can be changed into a prime (12237479) 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, 8929 + ... + 10207.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 212237472 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 12237472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

12237472 is an abundant number, since it is smaller than the sum of its proper divisors (14857568).

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

12237472 is a wasteful number, since it uses less digits than its factorization.

12237472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1317 counting only the distinct ones).

The product of its digits is 4704, while the sum is 28.

The square root of 12237472 is about 3498.2098278977. The cubic root of 12237472 is about 230.4432033823.

The spelling of 12237472 in words is "twelve million, two hundred thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 1279 2392 2558 4784 5116 9568 10232 16627 20464 29417 33254 40928 58834 66508 117668 133016 235336 266032 382421 470672 532064 764842 941344 1529684 3059368 6118736 12237472