Search a number
-
+
44922944 = 261125801
BaseRepresentation
bin1010101101011…
…1100001000000
310010112022200202
42223113201000
543000013234
64242504332
71053560453
oct253274100
9103468622
1044922944
11233a3300
12130650a8
1393cb531
145d7549a
153e2577e
hex2ad7840

44922944 has 42 divisors (see below), whose sum is σ = 98001582. Its totient is φ = 20416000.

The previous prime is 44922919. The next prime is 44922971.

44922944 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 44729344 + 193600 = 6688^2 + 440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 44922898 and 44922907.

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 5 ways as a sum of consecutive naturals, for example, 4844 + ... + 10644.

It is an arithmetic number, because the mean of its divisors is an integer number (2333371).

Almost surely, 244922944 is an apocalyptic number.

44922944 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 44922944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49000791).

44922944 is an abundant number, since it is smaller than the sum of its proper divisors (53078638).

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

44922944 is a wasteful number, since it uses less digits than its factorization.

44922944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5814 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 44922944 is about 6702.4580565640. The cubic root of 44922944 is about 355.4861922562.

The spelling of 44922944 in words is "forty-four million, nine hundred twenty-two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 5801 7744 11602 23204 46408 63811 92816 127622 185632 255244 371264 510488 701921 1020976 1403842 2041952 2807684 4083904 5615368 11230736 22461472 44922944