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4442064 = 2431147179
BaseRepresentation
bin10000111100011111010000
322100200100220
4100330133100
52114121224
6235113040
752520424
oct20743720
98320326
104442064
112564430
1215a2780
13bc6b53
14838b84
155cb279
hex43c7d0

4442064 has 80 divisors (see below), whose sum is σ = 12856320. Its totient is φ = 1310080.

The previous prime is 4442047. The next prime is 4442069. The reversal of 4442064 is 4602444.

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 (4442069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24727 + ... + 24905.

It is an arithmetic number, because the mean of its divisors is an integer number (160704).

Almost surely, 24442064 is an apocalyptic number.

4442064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4442064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160).

4442064 is an abundant number, since it is smaller than the sum of its proper divisors (8414256).

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

4442064 is a wasteful number, since it uses less digits than its factorization.

4442064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 242 counting only the distinct ones).

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

The square root of 4442064 is about 2107.6204591909. The cubic root of 4442064 is about 164.3847796424.

The spelling of 4442064 in words is "four million, four hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 47 48 66 88 94 132 141 176 179 188 264 282 358 376 517 528 537 564 716 752 1034 1074 1128 1432 1551 1969 2068 2148 2256 2864 3102 3938 4136 4296 5907 6204 7876 8272 8413 8592 11814 12408 15752 16826 23628 24816 25239 31504 33652 47256 50478 67304 92543 94512 100956 134608 185086 201912 277629 370172 403824 555258 740344 1110516 1480688 2221032 4442064