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44404064 = 2519199367
BaseRepresentation
bin1010100101100…
…0110101100000
310002112221220222
42221120311200
542331412224
64223422212
71046266625
oct251306540
9102487828
1044404064
1123079481
1212a54968
1392792c3
145c7c34c
153d71b5e
hex2a58d60

44404064 has 48 divisors (see below), whose sum is σ = 92736000. Its totient is φ = 20870784.

The previous prime is 44404057. The next prime is 44404081. The reversal of 44404064 is 46040444.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120809 + ... + 121175.

It is an arithmetic number, because the mean of its divisors is an integer number (1932000).

Almost surely, 244404064 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 44404064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46368000).

44404064 is an abundant number, since it is smaller than the sum of its proper divisors (48331936).

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

44404064 is a wasteful number, since it uses less digits than its factorization.

44404064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 44404064 is about 6663.6374451196. The cubic root of 44404064 is about 354.1122139921.

The spelling of 44404064 in words is "forty-four million, four hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 19 32 38 76 152 199 304 367 398 608 734 796 1468 1592 2936 3184 3781 5872 6368 6973 7562 11744 13946 15124 27892 30248 55784 60496 73033 111568 120992 146066 223136 292132 584264 1168528 1387627 2337056 2775254 5550508 11101016 22202032 44404064