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12486048 = 2531131151
BaseRepresentation
bin101111101000…
…010110100000
3212111100122020
4233220112200
511144023143
61123341440
7211062321
oct57502640
925440566
1012486048
117058a53
124221880
1327822c3
141930448
151169883
hexbe85a0

12486048 has 48 divisors (see below), whose sum is σ = 33094656. Its totient is φ = 4121600.

The previous prime is 12486011. The next prime is 12486049. The reversal of 12486048 is 84068421.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (12486049) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10273 + ... + 11423.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 212486048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12486048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328).

12486048 is an abundant number, since it is smaller than the sum of its proper divisors (20608608).

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

12486048 is a wasteful number, since it uses less digits than its factorization.

12486048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 12486048 is about 3533.5602442862. The cubic root of 12486048 is about 231.9930636055.

The spelling of 12486048 in words is "twelve million, four hundred eighty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 678 904 1151 1356 1808 2302 2712 3453 3616 4604 5424 6906 9208 10848 13812 18416 27624 36832 55248 110496 130063 260126 390189 520252 780378 1040504 1560756 2081008 3121512 4162016 6243024 12486048