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12548064 = 253235683
BaseRepresentation
bin101111110111…
…011111100000
3212121111201010
4233313133200
511203014224
61124540520
7211441164
oct57673740
925544633
1012548064
1170a0601
124251740
1327a45b9
141948ca4
15117ce29
hexbf77e0

12548064 has 48 divisors (see below), whose sum is σ = 34376832. Its totient is φ = 4000128.

The previous prime is 12548059. The next prime is 12548077. The reversal of 12548064 is 46084521.

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

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, 634 + ... + 5049.

It is an arithmetic number, because the mean of its divisors is an integer number (716184).

Almost surely, 212548064 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 12548064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17188416).

12548064 is an abundant number, since it is smaller than the sum of its proper divisors (21828768).

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

12548064 is a wasteful number, since it uses less digits than its factorization.

12548064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12548064 is about 3542.3246604455. The cubic root of 12548064 is about 232.3765190070.

The spelling of 12548064 in words is "twelve million, five hundred forty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 5683 11366 17049 22732 34098 45464 68196 90928 130709 136392 181856 261418 272784 392127 522836 545568 784254 1045672 1568508 2091344 3137016 4182688 6274032 12548064