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12485088 = 2532711563
BaseRepresentation
bin101111101000…
…000111100000
3212111022022200
4233220013200
511144010323
61123333200
7211056450
oct57500740
925438280
1012485088
117058260
124221200
132781a35
14192dd60
151169443
hexbe81e0

12485088 has 144 divisors (see below), whose sum is σ = 44343936. Its totient is φ = 3237120.

The previous prime is 12485063. The next prime is 12485141. The reversal of 12485088 is 88058421.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21895 + ... + 22457.

It is an arithmetic number, because the mean of its divisors is an integer number (307944).

Almost surely, 212485088 is an apocalyptic number.

12485088 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 12485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171968).

12485088 is an abundant number, since it is smaller than the sum of its proper divisors (31858848).

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

12485088 is a wasteful number, since it uses less digits than its factorization.

12485088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 12485088 is about 3533.4244013421. The cubic root of 12485088 is about 231.9871177944.

It can be divided in two parts, 1248 and 5088, that added together give a palindrome (6336).

The spelling of 12485088 in words is "twelve million, four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 563 616 672 693 792 924 1008 1056 1126 1232 1386 1584 1689 1848 2016 2252 2464 2772 3168 3378 3696 3941 4504 5067 5544 6193 6756 7392 7882 9008 10134 11088 11823 12386 13512 15764 18016 18579 20268 22176 23646 24772 27024 31528 35469 37158 40536 43351 47292 49544 54048 55737 63056 70938 74316 81072 86702 94584 99088 111474 126112 130053 141876 148632 162144 173404 189168 198176 222948 260106 283752 297264 346808 378336 390159 445896 520212 567504 594528 693616 780318 891792 1040424 1135008 1387232 1560636 1783584 2080848 3121272 4161696 6242544 12485088