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12944448 = 263411227
BaseRepresentation
bin110001011000…
…010001000000
3220100122110000
4301120101000
511303210243
61141240000
7215011626
oct61302100
926318400
1012944448
1173413a0
124403000
1328b2b4a
141a0d516
15120a5d3
hexc58440

12944448 has 140 divisors (see below), whose sum is σ = 42044112. Its totient is φ = 3905280.

The previous prime is 12944443. The next prime is 12944473. The reversal of 12944448 is 84444921.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12944443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56911 + ... + 57137.

Almost surely, 212944448 is an apocalyptic number.

12944448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12944448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022056).

12944448 is an abundant number, since it is smaller than the sum of its proper divisors (29099664).

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

12944448 is a wasteful number, since it uses less digits than its factorization.

12944448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 12944448 is about 3597.8393516109. The cubic root of 12944448 is about 234.7980640389.

The spelling of 12944448 in words is "twelve million, nine hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 227 264 288 297 324 352 396 432 454 528 576 594 648 681 704 792 864 891 908 1056 1188 1296 1362 1584 1728 1782 1816 2043 2112 2376 2497 2592 2724 3168 3564 3632 4086 4752 4994 5184 5448 6129 6336 7128 7264 7491 8172 9504 9988 10896 12258 14256 14528 14982 16344 18387 19008 19976 21792 22473 24516 28512 29964 32688 36774 39952 43584 44946 49032 57024 59928 65376 67419 73548 79904 89892 98064 119856 130752 134838 147096 159808 179784 196128 202257 239712 269676 294192 359568 392256 404514 479424 539352 588384 719136 809028 1078704 1176768 1438272 1618056 2157408 3236112 4314816 6472224 12944448