Search a number
-
+
44031000 = 23353131129
BaseRepresentation
bin1010011111110…
…1110000011000
310001212000011210
42213331300120
542232443000
64211423120
71043154156
oct247756030
9101760153
1044031000
1122944162
12128b4aa0
139178560
145bc23d6
153ceb350
hex29fdc18

44031000 has 128 divisors (see below), whose sum is σ = 148075200. Its totient is φ = 10828800.

The previous prime is 44030989. The next prime is 44031049. The reversal of 44031000 is 13044.

It is a super-2 number, since 2×440310002 = 3877457922000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 38436 + ... + 39564.

Almost surely, 244031000 is an apocalyptic number.

44031000 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 44031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74037600).

44031000 is an abundant number, since it is smaller than the sum of its proper divisors (104044200).

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

44031000 is a wasteful number, since it uses less digits than its factorization.

44031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 44031000 is about 6635.5858821961. The cubic root of 44031000 is about 353.1177237648.

Adding to 44031000 its reverse (13044), we get a palindrome (44044044).

The spelling of 44031000 in words is "forty-four million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1129 1300 1500 1560 1625 1950 2258 2600 3000 3250 3387 3900 4516 4875 5645 6500 6774 7800 9032 9750 11290 13000 13548 14677 16935 19500 22580 27096 28225 29354 33870 39000 44031 45160 56450 58708 67740 73385 84675 88062 112900 117416 135480 141125 146770 169350 176124 220155 225800 282250 293540 338700 352248 366925 423375 440310 564500 587080 677400 733850 846750 880620 1100775 1129000 1467700 1693500 1761240 1834625 2201550 2935400 3387000 3669250 4403100 5503875 7338500 8806200 11007750 14677000 22015500 44031000