Search a number
-
+
44032044 = 22371947587
BaseRepresentation
bin1010011111111…
…0000000101100
310001212001121110
42213332000230
542233011134
64211432020
71043160210
oct247760054
9101761543
1044032044
1122944a21
12128b5610
139178b84
145bc2940
153ceb7e9
hex29fe02c

44032044 has 96 divisors (see below), whose sum is σ = 126443520. Its totient is φ = 11644992.

The previous prime is 44032013. The next prime is 44032049. The reversal of 44032044 is 44023044.

44032044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 44032044.

It is not an unprimeable number, because it can be changed into a prime (44032049) 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 31 ways as a sum of consecutive naturals, for example, 74719 + ... + 75305.

It is an arithmetic number, because the mean of its divisors is an integer number (1317120).

Almost surely, 244032044 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 44032044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63221760).

44032044 is an abundant number, since it is smaller than the sum of its proper divisors (82411476).

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

44032044 is a wasteful number, since it uses less digits than its factorization.

44032044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 44032044 is about 6635.6645484834. The cubic root of 44032044 is about 353.1205146166.

Adding to 44032044 its reverse (44023044), we get a palindrome (88055088).

The spelling of 44032044 in words is "forty-four million, thirty-two thousand, forty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 188 228 266 282 329 399 532 564 587 658 798 893 987 1174 1316 1596 1761 1786 1974 2348 2679 3522 3572 3948 4109 5358 6251 7044 8218 10716 11153 12327 12502 16436 18753 22306 24654 25004 27589 33459 37506 44612 49308 55178 66918 75012 78071 82767 110356 133836 156142 165534 193123 234213 312284 331068 386246 468426 524191 579369 772492 936852 1048382 1158738 1572573 2096764 2317476 3145146 3669337 6290292 7338674 11008011 14677348 22016022 44032044