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12048288 = 253717929
BaseRepresentation
bin101101111101…
…011110100000
3211200010010220
4231331132200
511041021123
61110123040
7204260130
oct55753640
924603126
1012048288
11688a06a
124050480
13265ac85
141858ac0
1510cece3
hexb7d7a0

12048288 has 48 divisors (see below), whose sum is σ = 36146880. Its totient is φ = 3442176.

The previous prime is 12048277. The next prime is 12048317. The reversal of 12048288 is 88284021.

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

It is a super-2 number, since 2×120482882 = 290322487461888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8293 + ... + 9636.

It is an arithmetic number, because the mean of its divisors is an integer number (753060).

Almost surely, 212048288 is an apocalyptic number.

It is an amenable number.

12048288 is an abundant number, since it is smaller than the sum of its proper divisors (24098592).

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

12048288 is a wasteful number, since it uses less digits than its factorization.

12048288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17949 (or 17941 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 12048288 is about 3471.0643900683. The cubic root of 12048288 is about 229.2495261949.

The spelling of 12048288 in words is "twelve million, forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 17929 35858 53787 71716 107574 125503 143432 215148 251006 286864 376509 430296 502012 573728 753018 860592 1004024 1506036 1721184 2008048 3012072 4016096 6024144 12048288