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12575024 = 2471159173
BaseRepresentation
bin101111111110…
…000100110000
3212122212200122
4233332010300
511204400044
61125305412
7211612610
oct57760460
925585618
1012575024
117109890
124265268
1327b3957
141954a40
151185dee
hexbfe130

12575024 has 80 divisors (see below), whose sum is σ = 31069440. Its totient is φ = 4788480.

The previous prime is 12575011. The next prime is 12575041. The reversal of 12575024 is 42057521.

It is a junction number, because it is equal to n+sod(n) for n = 12574984 and 12575002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72602 + ... + 72774.

It is an arithmetic number, because the mean of its divisors is an integer number (388368).

Almost surely, 212575024 is an apocalyptic number.

12575024 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 12575024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534720).

12575024 is an abundant number, since it is smaller than the sum of its proper divisors (18494416).

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

12575024 is a wasteful number, since it uses less digits than its factorization.

12575024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 12575024 is about 3546.1280292736. The cubic root of 12575024 is about 232.5428232679.

The spelling of 12575024 in words is "twelve million, five hundred seventy-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 173 176 236 308 346 413 472 616 649 692 826 944 1211 1232 1298 1384 1652 1903 2422 2596 2768 3304 3806 4543 4844 5192 6608 7612 9086 9688 10207 10384 13321 15224 18172 19376 20414 26642 30448 36344 40828 53284 71449 72688 81656 106568 112277 142898 163312 213136 224554 285796 449108 571592 785939 898216 1143184 1571878 1796432 3143756 6287512 12575024