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13848912 = 24327111249
BaseRepresentation
bin110100110101…
…000101010000
3222001121010200
4310311011100
512021131122
61212455200
7225466560
oct64650520
928047120
1013848912
1178a9990
12477a500
132b3b72c
141ba6da0
1513385ac
hexd35150

13848912 has 120 divisors (see below), whose sum is σ = 48360000. Its totient is φ = 3594240.

The previous prime is 13848911. The next prime is 13848917. The reversal of 13848912 is 21984831.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13848911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10464 + ... + 11712.

It is an arithmetic number, because the mean of its divisors is an integer number (403000).

Almost surely, 213848912 is an apocalyptic number.

13848912 is a gapful number since it is divisible by the number (12) 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 13848912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24180000).

13848912 is an abundant number, since it is smaller than the sum of its proper divisors (34511088).

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

13848912 is a wasteful number, since it uses less digits than its factorization.

13848912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13848912 is about 3721.4126350084. The cubic root of 13848912 is about 240.1440801531.

It can be divided in two parts, 1384 and 8912, that added together give a triangular number (10296 = T143).

The spelling of 13848912 in words is "thirteen million, eight hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1249 1386 1584 1848 2498 2772 3696 3747 4996 5544 7494 8743 9992 11088 11241 13739 14988 17486 19984 22482 26229 27478 29976 34972 41217 44964 52458 54956 59952 69944 78687 82434 89928 96173 104916 109912 123651 139888 157374 164868 179856 192346 209832 219824 247302 288519 314748 329736 384692 419664 494604 577038 629496 659472 769384 865557 989208 1154076 1258992 1538768 1731114 1978416 2308152 3462228 4616304 6924456 13848912