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44420064 = 2531335593
BaseRepresentation
bin1010100101110…
…0101111100000
310002120202212120
42221130233200
542332420224
64224024240
71046364363
oct251345740
9102522776
1044420064
112308a4a7
1212a62080
139283680
145c840da
153d76779
hex2a5cbe0

44420064 has 48 divisors (see below), whose sum is σ = 125575632. Its totient is φ = 13667328.

The previous prime is 44420063. The next prime is 44420069. The reversal of 44420064 is 46002444.

44420064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44420063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16549 + ... + 19044.

It is an arithmetic number, because the mean of its divisors is an integer number (2616159).

Almost surely, 244420064 is an apocalyptic number.

It is an amenable number.

44420064 is an abundant number, since it is smaller than the sum of its proper divisors (81155568).

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

44420064 is a wasteful number, since it uses less digits than its factorization.

44420064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35619 (or 35611 counting only the distinct ones).

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

The square root of 44420064 is about 6664.8378824995. The cubic root of 44420064 is about 354.1547409933.

The spelling of 44420064 in words is "forty-four million, four hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 35593 71186 106779 142372 213558 284744 427116 462709 569488 854232 925418 1138976 1388127 1708464 1850836 2776254 3416928 3701672 5552508 7403344 11105016 14806688 22210032 44420064