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12052824 = 2337237277
BaseRepresentation
bin101101111110…
…100101011000
3211200100100220
4231332211120
511041142244
61110200040
7204306300
oct55764530
924610326
1012052824
116892513
124053020
132660064
14185a600
1510d1319
hexb7e958

12052824 has 96 divisors (see below), whose sum is σ = 36128880. Its totient is φ = 3338496.

The previous prime is 12052823. The next prime is 12052837. The reversal of 12052824 is 42825021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12052794 and 12052803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052823) 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, 43374 + ... + 43650.

Almost surely, 212052824 is an apocalyptic number.

12052824 is a gapful number since it is divisible by the number (14) 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 12052824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064440).

12052824 is an abundant number, since it is smaller than the sum of its proper divisors (24076056).

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

12052824 is a wasteful number, since it uses less digits than its factorization.

12052824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12052824 is about 3471.7177304614. The cubic root of 12052824 is about 229.2782922564.

Adding to 12052824 its reverse (42825021), we get a palindrome (54877845).

The spelling of 12052824 in words is "twelve million, fifty-two thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 277 294 296 392 444 518 554 588 777 831 888 1036 1108 1176 1554 1662 1813 1939 2072 2216 3108 3324 3626 3878 5439 5817 6216 6648 7252 7756 10249 10878 11634 13573 14504 15512 20498 21756 23268 27146 30747 40719 40996 43512 46536 54292 61494 71743 81438 81992 108584 122988 143486 162876 215229 245976 286972 325752 430458 502201 573944 860916 1004402 1506603 1721832 2008804 3013206 4017608 6026412 12052824