Search a number
-
+
12443648 = 2137231
BaseRepresentation
bin101111011110…
…000000000000
3212102012110212
4233132000000
511141144043
61122413252
7210524600
oct57360000
925365425
1012443648
11702a108
124201228
132768c09
14191cc00
15115c018
hexbde000

12443648 has 84 divisors (see below), whose sum is σ = 29882592. Its totient is φ = 5160960.

The previous prime is 12443647. The next prime is 12443657. The reversal of 12443648 is 84634421.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443647) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 401393 + ... + 401423.

Almost surely, 212443648 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 12443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14941296).

12443648 is an abundant number, since it is smaller than the sum of its proper divisors (17438944).

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

12443648 is an frugal number, since it uses more digits than its factorization.

12443648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its digits is 18432, while the sum is 32.

The square root of 12443648 is about 3527.5555275573. Note that the first 4 decimals coincide. The cubic root of 12443648 is about 231.7301658713.

The spelling of 12443648 in words is "twelve million, four hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 392 434 448 496 512 784 868 896 992 1024 1519 1568 1736 1792 1984 2048 3038 3136 3472 3584 3968 4096 6076 6272 6944 7168 7936 8192 12152 12544 13888 14336 15872 24304 25088 27776 28672 31744 48608 50176 55552 57344 63488 97216 100352 111104 126976 194432 200704 222208 253952 388864 401408 444416 777728 888832 1555456 1777664 3110912 6221824 12443648