Search a number
-
+
44239440 = 24357171549
BaseRepresentation
bin1010100011000…
…0101001010000
310002020121002210
42220300221100
542311130230
64220112120
71045012650
oct250605120
9102217083
1044239440
1122a76823
1212995640
13921c3ab
145c38360
153d3ceb0
hex2a30a50

44239440 has 160 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 9510912.

The previous prime is 44239421. The next prime is 44239487. The reversal of 44239440 is 4493244.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44239398 and 44239407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27786 + ... + 29334.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 244239440 is an apocalyptic number.

44239440 is a gapful number since it is divisible by the number (40) 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 44239440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

44239440 is an abundant number, since it is smaller than the sum of its proper divisors (121821360).

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

44239440 is a wasteful number, since it uses less digits than its factorization.

44239440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 44239440 is about 6651.2735622586. The cubic root of 44239440 is about 353.6740592063.

The spelling of 44239440 in words is "forty-four million, two hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 840 952 1020 1190 1360 1428 1549 1680 1785 1904 2040 2380 2856 3098 3570 4080 4647 4760 5712 6196 7140 7745 9294 9520 10843 12392 14280 15490 18588 21686 23235 24784 26333 28560 30980 32529 37176 43372 46470 52666 54215 61960 65058 74352 78999 86744 92940 105332 108430 123920 130116 131665 157998 162645 173488 184331 185880 210664 216860 260232 263330 315996 325290 368662 371760 394995 421328 433720 520464 526660 552993 631992 650580 737324 789990 867440 921655 1053320 1105986 1263984 1301160 1474648 1579980 1843310 2106640 2211972 2602320 2764965 2949296 3159960 3686620 4423944 5529930 6319920 7373240 8847888 11059860 14746480 22119720 44239440