Search a number
-
+
44120064 = 211343167
BaseRepresentation
bin1010100001001…
…1100000000000
310002000112100110
42220103200000
542243320224
64213351320
71044004632
oct250234000
9102015313
1044120064
11229a506a
1212938540
1391a9c61
145c06a52
153d17929
hex2a13800

44120064 has 96 divisors (see below), whose sum is σ = 121080960. Its totient is φ = 14278656.

The previous prime is 44120053. The next prime is 44120093. The reversal of 44120064 is 46002144.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 44120064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264109 + ... + 264275.

It is an arithmetic number, because the mean of its divisors is an integer number (1261260).

Almost surely, 244120064 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 44120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60540480).

44120064 is an abundant number, since it is smaller than the sum of its proper divisors (76960896).

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

44120064 is a wasteful number, since it uses less digits than its factorization.

44120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 44120064 is about 6642.2935797810. The cubic root of 44120064 is about 353.3556538251.

The spelling of 44120064 in words is "forty-four million, one hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 167 172 192 256 258 334 344 384 501 512 516 668 688 768 1002 1024 1032 1336 1376 1536 2004 2048 2064 2672 2752 3072 4008 4128 5344 5504 6144 7181 8016 8256 10688 11008 14362 16032 16512 21376 21543 22016 28724 32064 33024 42752 43086 44032 57448 64128 66048 85504 86172 88064 114896 128256 132096 171008 172344 229792 256512 264192 342016 344688 459584 513024 689376 919168 1026048 1378752 1838336 2757504 3676672 5515008 7353344 11030016 14706688 22060032 44120064