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12912048 = 243941
BaseRepresentation
bin110001010000…
…010110110000
3220022000000000
4301100112300
511301141143
61140430000
7214515312
oct61202660
926260000
1012912048
11731a016
1243a8300
1328a1186
141a017b2
151200bd3
hexc505b0

12912048 has 100 divisors (see below), whose sum is σ = 38440248. Its totient is φ = 4199040.

The previous prime is 12912043. The next prime is 12912073. The reversal of 12912048 is 84021921.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (12912041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 314908 + ... + 314948.

Almost surely, 212912048 is an apocalyptic number.

12912048 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 12912048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19220124).

12912048 is an abundant number, since it is smaller than the sum of its proper divisors (25528200).

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

12912048 is an frugal number, since it uses more digits than its factorization.

12912048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 12912048 is about 3593.3338280767. Note that the first 3 decimals coincide. The cubic root of 12912048 is about 234.6020002315.

Adding to 12912048 its reverse (84021921), we get a palindrome (96933969).

The spelling of 12912048 in words is "twelve million, nine hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 243 246 324 328 369 432 486 492 648 656 729 738 972 984 1107 1296 1458 1476 1944 1968 2187 2214 2916 2952 3321 3888 4374 4428 5832 5904 6561 6642 8748 8856 9963 11664 13122 13284 17496 17712 19683 19926 26244 26568 29889 34992 39366 39852 52488 53136 59778 78732 79704 89667 104976 119556 157464 159408 179334 239112 269001 314928 358668 478224 538002 717336 807003 1076004 1434672 1614006 2152008 3228012 4304016 6456024 12912048