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12684448 = 257173331
BaseRepresentation
bin110000011000…
…110010100000
3212212102210101
4300120302200
511221400243
61131512144
7212546620
oct60306240
925772711
1012684448
117184017
1242b8654
1328216ba
141982880
1511a854d
hexc18ca0

12684448 has 48 divisors (see below), whose sum is σ = 30227904. Its totient is φ = 5114880.

The previous prime is 12684421. The next prime is 12684449. The reversal of 12684448 is 84448621.

It is not an unprimeable number, because it can be changed into a prime (12684449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2143 + ... + 5473.

It is an arithmetic number, because the mean of its divisors is an integer number (629748).

Almost surely, 212684448 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 12684448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113952).

12684448 is an abundant number, since it is smaller than the sum of its proper divisors (17543456).

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

12684448 is a wasteful number, since it uses less digits than its factorization.

12684448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3365 (or 3357 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 12684448 is about 3561.5232696137. The cubic root of 12684448 is about 233.2153816545.

The spelling of 12684448 in words is "twelve million, six hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3331 3808 6662 13324 23317 26648 46634 53296 56627 93268 106592 113254 186536 226508 373072 396389 453016 746144 792778 906032 1585556 1812064 3171112 6342224 12684448