Search a number
-
+
44627040 = 25325171823
BaseRepresentation
bin1010101000111…
…1010001100000
310002222021210100
42222033101200
542411031130
64232302400
71051215663
oct252172140
9102867710
1044627040
1123210a57
1212b41a00
139326943
145cd96da
153db7c60
hex2a8f460

44627040 has 144 divisors (see below), whose sum is σ = 161336448. Its totient is φ = 11194368.

The previous prime is 44626999. The next prime is 44627041. The reversal of 44627040 is 4072644.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 44626995 and 44627013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44627041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23569 + ... + 25391.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 244627040 is an apocalyptic number.

44627040 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 44627040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80668224).

44627040 is an abundant number, since it is smaller than the sum of its proper divisors (116709408).

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

44627040 is a wasteful number, since it uses less digits than its factorization.

44627040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861 (or 1850 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 44627040 is about 6680.3472963612. The cubic root of 44627040 is about 354.7039520854.

Adding to 44627040 its reverse (4072644), we get a palindrome (48699684).

The spelling of 44627040 in words is "forty-four million, six hundred twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 1823 2040 2448 2720 3060 3646 4080 4896 5469 6120 7292 8160 9115 10938 12240 14584 16407 18230 21876 24480 27345 29168 30991 32814 36460 43752 54690 58336 61982 65628 72920 82035 87504 92973 109380 123964 131256 145840 154955 164070 175008 185946 218760 247928 262512 278919 291680 309910 328140 371892 437520 464865 495856 525024 557838 619820 656280 743784 875040 929730 991712 1115676 1239640 1312560 1394595 1487568 1859460 2231352 2479280 2625120 2789190 2975136 3718920 4462704 4958560 5578380 7437840 8925408 11156760 14875680 22313520 44627040