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4424064 = 27341281
BaseRepresentation
bin10000111000000110000000
322022202200020
4100320012000
52113032224
6234453440
752414101
oct20700600
98282606
104424064
112551957
121594280
13bbb8b8
148323a8
155c5c79
hex438180

4424064 has 64 divisors (see below), whose sum is σ = 12080880. Its totient is φ = 1433600.

The previous prime is 4424059. The next prime is 4424083. The reversal of 4424064 is 4604244.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 15604 + ... + 15884.

Almost surely, 24424064 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 4424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6040440).

4424064 is an abundant number, since it is smaller than the sum of its proper divisors (7656816).

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

4424064 is a wasteful number, since it uses less digits than its factorization.

4424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4424064 is about 2103.3459059318. The cubic root of 4424064 is about 164.1624406767.

The spelling of 4424064 in words is "four million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 281 328 384 492 562 656 843 984 1124 1312 1686 1968 2248 2624 3372 3936 4496 5248 6744 7872 8992 11521 13488 15744 17984 23042 26976 34563 35968 46084 53952 69126 92168 107904 138252 184336 276504 368672 553008 737344 1106016 1474688 2212032 4424064