Search a number
-
+
44027040 = 253537267
BaseRepresentation
bin1010011111110…
…0110010100000
310001211210202010
42213330302200
542232331130
64211352520
71043136501
oct247746240
9101753663
1044027040
1122941192
12128b2740
139176805
145bc0ba8
153cea0b0
hex29fcca0

44027040 has 144 divisors (see below), whose sum is σ = 144662112. Its totient is φ = 11252736.

The previous prime is 44026949. The next prime is 44027057. The reversal of 44027040 is 4072044.

44027040 = T291 + T292 + ... + T660.

44027040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44026998 and 44027016.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 657087 + ... + 657153.

It is an arithmetic number, because the mean of its divisors is an integer number (1004598).

Almost surely, 244027040 is an apocalyptic number.

44027040 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 44027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72331056).

44027040 is an abundant number, since it is smaller than the sum of its proper divisors (100635072).

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

44027040 is a wasteful number, since it uses less digits than its factorization.

44027040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 44027040 is about 6635.2874843521. The cubic root of 44027040 is about 353.1071373740.

Adding to 44027040 its reverse (4072044), we get a palindrome (48099084).

The spelling of 44027040 in words is "forty-four million, twenty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 67 74 80 96 111 120 134 148 160 185 201 222 240 268 296 335 370 402 444 480 536 555 592 670 740 804 888 1005 1072 1110 1184 1340 1369 1480 1608 1776 2010 2144 2220 2479 2680 2738 2960 3216 3552 4020 4107 4440 4958 5360 5476 5920 6432 6845 7437 8040 8214 8880 9916 10720 10952 12395 13690 14874 16080 16428 17760 19832 20535 21904 24790 27380 29748 32160 32856 37185 39664 41070 43808 49580 54760 59496 65712 74370 79328 82140 91723 99160 109520 118992 131424 148740 164280 183446 198320 219040 237984 275169 297480 328560 366892 396640 458615 550338 594960 657120 733784 917230 1100676 1189920 1375845 1467568 1834460 2201352 2751690 2935136 3668920 4402704 5503380 7337840 8805408 11006760 14675680 22013520 44027040