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12534048 = 253389163
BaseRepresentation
bin101111110100…
…000100100000
3212120210111000
4233310010200
511202042143
61124352000
7211352262
oct57640440
925523430
1012534048
11709101a
124245600
13279b0c7
141943b32
151178bd3
hexbf4120

12534048 has 96 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 4105728.

The previous prime is 12534037. The next prime is 12534059. The reversal of 12534048 is 84043521.

12534048 is a `hidden beast` number, since 1 + 253 + 404 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12534037) and next prime (12534059).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76815 + ... + 76977.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 212534048 is an apocalyptic number.

12534048 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 12534048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

12534048 is an abundant number, since it is smaller than the sum of its proper divisors (24661152).

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

12534048 is a wasteful number, since it uses less digits than its factorization.

12534048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 12534048 is about 3540.3457458277. The cubic root of 12534048 is about 232.2899664064.

Adding to 12534048 its reverse (84043521), we get a palindrome (96577569).

The spelling of 12534048 in words is "twelve million, five hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 89 96 108 144 163 178 216 267 288 326 356 432 489 534 652 712 801 864 978 1068 1304 1424 1467 1602 1956 2136 2403 2608 2848 2934 3204 3912 4272 4401 4806 5216 5868 6408 7824 8544 8802 9612 11736 12816 14507 15648 17604 19224 23472 25632 29014 35208 38448 43521 46944 58028 70416 76896 87042 116056 130563 140832 174084 232112 261126 348168 391689 464224 522252 696336 783378 1044504 1392672 1566756 2089008 3133512 4178016 6267024 12534048