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12048688 = 2423291129
BaseRepresentation
bin101101111101…
…100100110000
3211200010200201
4231331210300
511041024223
61110124544
7204261241
oct55754460
924603621
1012048688
11688a3a3
124050754
13265b202
141858cc8
1510ceead
hexb7d930

12048688 has 40 divisors (see below), whose sum is σ = 25221600. Its totient is φ = 5558784.

The previous prime is 12048683. The next prime is 12048689. The reversal of 12048688 is 88684021.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12048683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10108 + ... + 11236.

It is an arithmetic number, because the mean of its divisors is an integer number (630540).

Almost surely, 212048688 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 12048688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12610800).

12048688 is an abundant number, since it is smaller than the sum of its proper divisors (13172912).

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

12048688 is a wasteful number, since it uses less digits than its factorization.

12048688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 12048688 is about 3471.1220088035. The cubic root of 12048688 is about 229.2520631749.

The spelling of 12048688 in words is "twelve million, forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 184 232 368 464 667 1129 1334 2258 2668 4516 5336 9032 10672 18064 25967 32741 51934 65482 103868 130964 207736 261928 415472 523856 753043 1506086 3012172 6024344 12048688