Search a number
-
+
44143440 = 24351123727
BaseRepresentation
bin1010100001100…
…1001101010000
310002001201102020
42220121031100
542300042230
64214051440
71044133035
oct250311520
9102051366
1044143440
1122a10690
1212949b80
1391b77a3
145c1138c
153d1e810
hex2a19350

44143440 has 160 divisors (see below), whose sum is σ = 155990016. Its totient is φ = 10222080.

The previous prime is 44143433. The next prime is 44143471. The reversal of 44143440 is 4434144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44143440.

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, 60357 + ... + 61083.

Almost surely, 244143440 is an apocalyptic number.

44143440 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 44143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008).

44143440 is an abundant number, since it is smaller than the sum of its proper divisors (111846576).

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

44143440 is a wasteful number, since it uses less digits than its factorization.

44143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 44143440 is about 6644.0529799212. The cubic root of 44143440 is about 353.4180485925.

Adding to 44143440 its reverse (4434144), we get a palindrome (48577584).

The spelling of 44143440 in words is "forty-four million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 23 24 30 33 40 44 46 48 55 60 66 69 80 88 92 110 115 120 132 138 165 176 184 220 230 240 253 264 276 330 345 368 440 460 506 528 552 660 690 727 759 880 920 1012 1104 1265 1320 1380 1454 1518 1840 2024 2181 2530 2640 2760 2908 3036 3635 3795 4048 4362 5060 5520 5816 6072 7270 7590 7997 8724 10120 10905 11632 12144 14540 15180 15994 16721 17448 20240 21810 23991 29080 30360 31988 33442 34896 39985 43620 47982 50163 58160 60720 63976 66884 79970 83605 87240 95964 100326 119955 127952 133768 159940 167210 174480 183931 191928 200652 239910 250815 267536 319880 334420 367862 383856 401304 479820 501630 551793 639760 668840 735724 802608 919655 959640 1003260 1103586 1337680 1471448 1839310 1919280 2006520 2207172 2758965 2942896 3678620 4013040 4414344 5517930 7357240 8828688 11035860 14714480 22071720 44143440