Search a number
-
+
44224768 = 287232937
BaseRepresentation
bin1010100010110…
…1000100000000
310002012211222101
42220231010000
542310143033
64215520144
71044622120
oct250550400
9102184871
1044224768
1122a667a5
1212989054
139215803
145c32c80
153d3897d
hex2a2d100

44224768 has 144 divisors (see below), whose sum is σ = 111847680. Its totient is φ = 17031168.

The previous prime is 44224721. The next prime is 44224771. The reversal of 44224768 is 86742244.

It is a Harshad number since it is a multiple of its sum of digits (37).

Its product of digits (86016) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195246 + ... + 1195282.

It is an arithmetic number, because the mean of its divisors is an integer number (776720).

Almost surely, 244224768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44224768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55923840).

44224768 is an abundant number, since it is smaller than the sum of its proper divisors (67622912).

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

44224768 is a wasteful number, since it uses less digits than its factorization.

44224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 98 counting only the distinct ones).

The product of its digits is 86016, while the sum is 37.

The square root of 44224768 is about 6650.1705241294. The cubic root of 44224768 is about 353.6349562433.

The spelling of 44224768 in words is "forty-four million, two hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 37 46 56 58 64 74 92 112 116 128 148 161 184 203 224 232 256 259 296 322 368 406 448 464 518 592 644 667 736 812 851 896 928 1036 1073 1184 1288 1334 1472 1624 1702 1792 1856 2072 2146 2368 2576 2668 2944 3248 3404 3712 4144 4292 4669 4736 5152 5336 5888 5957 6496 6808 7424 7511 8288 8584 9338 9472 10304 10672 11914 12992 13616 15022 16576 17168 18676 20608 21344 23828 24679 25984 27232 30044 33152 34336 37352 41216 42688 47656 49358 51968 54464 60088 66304 68672 74704 85376 95312 98716 108928 120176 137344 149408 170752 172753 190624 197432 217856 240352 274688 298816 345506 381248 394864 480704 597632 691012 762496 789728 961408 1195264 1382024 1524992 1579456 1922816 2764048 3158912 5528096 6317824 11056192 22112384 44224768