Search a number
-
+
44291772 = 2234759331
BaseRepresentation
bin1010100011110…
…1011010111100
310002100020220000
42220331122330
542314314042
64221154300
71045321350
oct250753274
9102306800
1044291772
1123002078
12129bb990
13923a165
145c4d460
153d4d74c
hex2a3d6bc

44291772 has 120 divisors (see below), whose sum is σ = 134977920. Its totient is φ = 12402720.

The previous prime is 44291761. The next prime is 44291789. The reversal of 44291772 is 27719244.

It is a super-2 number, since 2×442917722 = 3923522133799968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 133647 + ... + 133977.

It is an arithmetic number, because the mean of its divisors is an integer number (1124816).

Almost surely, 244291772 is an apocalyptic number.

44291772 is a gapful number since it is divisible by the number (42) 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 44291772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67488960).

44291772 is an abundant number, since it is smaller than the sum of its proper divisors (90686148).

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

44291772 is a wasteful number, since it uses less digits than its factorization.

44291772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 44291772 is about 6655.2063829757. The cubic root of 44291772 is about 353.8134610433.

The spelling of 44291772 in words is "forty-four million, two hundred ninety-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 59 63 81 84 108 118 126 162 177 189 236 252 324 331 354 378 413 531 567 662 708 756 826 993 1062 1134 1239 1324 1593 1652 1986 2124 2268 2317 2478 2979 3186 3717 3972 4634 4779 4956 5958 6372 6951 7434 8937 9268 9558 11151 11916 13902 14868 17874 19116 19529 20853 22302 26811 27804 33453 35748 39058 41706 44604 53622 58587 62559 66906 78116 83412 107244 117174 125118 133812 136703 175761 187677 234348 250236 273406 351522 375354 410109 527283 546812 703044 750708 820218 1054566 1230327 1581849 1640436 2109132 2460654 3163698 3690981 4921308 6327396 7381962 11072943 14763924 22145886 44291772