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44264064 = 273138867
BaseRepresentation
bin1010100011011…
…0101010000000
310002021211212210
42220312222000
542312422224
64220422120
71045144515
oct250665200
9102254783
1044264064
1122a93279
12129a7940
13922a670
145c4330c
153d45429
hex2a36a80

44264064 has 64 divisors (see below), whose sum is σ = 126635040. Its totient is φ = 13618176.

The previous prime is 44264057. The next prime is 44264069. The reversal of 44264064 is 46046244.

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

It is not an unprimeable number, because it can be changed into a prime (44264069) 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, 559 + ... + 9425.

Almost surely, 244264064 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 44264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63317520).

44264064 is an abundant number, since it is smaller than the sum of its proper divisors (82370976).

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

44264064 is a wasteful number, since it uses less digits than its factorization.

44264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8897 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 44264064 is about 6653.1243788163. The cubic root of 44264064 is about 353.7396662358.

The spelling of 44264064 in words is "forty-four million, two hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 8867 17734 26601 35468 53202 70936 106404 115271 141872 212808 230542 283744 345813 425616 461084 567488 691626 851232 922168 1134976 1383252 1702464 1844336 2766504 3404928 3688672 5533008 7377344 11066016 14754688 22132032 44264064