Search a number
-
+
44104464 = 2432615021
BaseRepresentation
bin1010100000111…
…1101100010000
310001222201221200
42220033230100
542242320324
64213151200
71043611305
oct250175420
9101881850
1044104464
1122994378
121292b500
1391a2b21
145c010ac
153d12ec9
hex2a0fb10

44104464 has 60 divisors (see below), whose sum is σ = 125479692. Its totient is φ = 14457600.

The previous prime is 44104441. The next prime is 44104469. The reversal of 44104464 is 46440144.

It can be written as a sum of positive squares in 2 ways, for example, as 19184400 + 24920064 = 4380^2 + 4992^2 .

It is not an unprimeable number, because it can be changed into a prime (44104469) 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 11 ways as a sum of consecutive naturals, for example, 6274 + ... + 11294.

Almost surely, 244104464 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 44104464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62739846).

44104464 is an abundant number, since it is smaller than the sum of its proper divisors (81375228).

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

44104464 is a wasteful number, since it uses less digits than its factorization.

44104464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5096 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 44104464 is about 6641.1191827884. The cubic root of 44104464 is about 353.3140023442.

The spelling of 44104464 in words is "forty-four million, one hundred four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 5021 8784 10042 15063 20084 30126 40168 45189 60252 80336 90378 120504 180756 241008 306281 361512 612562 723024 918843 1225124 1837686 2450248 2756529 3675372 4900496 5513058 7350744 11026116 14701488 22052232 44104464