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41448064 = 277167277
BaseRepresentation
bin1001111000011…
…1001010000000
32212222210001111
42132013022000
541102314224
64040213104
71012205560
oct236071200
985883044
1041448064
112143a5a9
1211a6a194
1387829a8
14570cda0
15398ad94
hex2787280

41448064 has 64 divisors (see below), whose sum is σ = 95276160. Its totient is φ = 17593344.

The previous prime is 41448053. The next prime is 41448107. The reversal of 41448064 is 46084414.

It is a tau number, because it is divible by the number of its divisors (64).

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, 149494 + ... + 149770.

It is an arithmetic number, because the mean of its divisors is an integer number (1488690).

Almost surely, 241448064 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 41448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47638080).

41448064 is an abundant number, since it is smaller than the sum of its proper divisors (53828096).

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

41448064 is a wasteful number, since it uses less digits than its factorization.

41448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 41448064 is about 6438.0170860289. The cubic root of 41448064 is about 346.0732913002.

The spelling of 41448064 in words is "forty-one million, four hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 167 224 277 334 448 554 668 896 1108 1169 1336 1939 2216 2338 2672 3878 4432 4676 5344 7756 8864 9352 10688 15512 17728 18704 21376 31024 35456 37408 46259 62048 74816 92518 124096 149632 185036 248192 323813 370072 647626 740144 1295252 1480288 2590504 2960576 5181008 5921152 10362016 20724032 41448064