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12891648 = 293711109
BaseRepresentation
bin110001001011…
…011000000000
3220020222000110
4301023120000
511300013043
61140151320
7214401660
oct61133000
926228013
1012891648
117305760
124398540
132894ac3
1419d81a0
1511e9b33
hexc4b600

12891648 has 160 divisors (see below), whose sum is σ = 43211520. Its totient is φ = 3317760.

The previous prime is 12891647. The next prime is 12891649. The reversal of 12891648 is 84619821.

It is an interprime number because it is at equal distance from previous prime (12891647) and next prime (12891649).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12891647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118218 + ... + 118326.

It is an arithmetic number, because the mean of its divisors is an integer number (270072).

Almost surely, 212891648 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 12891648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21605760).

12891648 is an abundant number, since it is smaller than the sum of its proper divisors (30319872).

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

12891648 is a wasteful number, since it uses less digits than its factorization.

12891648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 12891648 is about 3590.4941164135. The cubic root of 12891648 is about 234.4783843276.

The spelling of 12891648 in words is "twelve million, eight hundred ninety-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 109 112 128 132 154 168 176 192 218 224 231 256 264 308 327 336 352 384 436 448 462 512 528 616 654 672 704 763 768 872 896 924 1056 1199 1232 1308 1344 1408 1526 1536 1744 1792 1848 2112 2289 2398 2464 2616 2688 2816 3052 3488 3584 3597 3696 4224 4578 4796 4928 5232 5376 5632 6104 6976 7194 7392 8393 8448 9156 9592 9856 10464 10752 12208 13952 14388 14784 16786 16896 18312 19184 19712 20928 24416 25179 27904 28776 29568 33572 36624 38368 39424 41856 48832 50358 55808 57552 59136 67144 73248 76736 83712 97664 100716 115104 118272 134288 146496 153472 167424 195328 201432 230208 268576 292992 306944 390656 402864 460416 537152 585984 613888 805728 920832 1074304 1171968 1611456 1841664 2148608 3222912 4297216 6445824 12891648