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44423040 = 2735171361
BaseRepresentation
bin1010100101110…
…1011110000000
310002120220221210
42221131132000
542333014130
64224050120
71046406144
oct251353600
9102526853
1044423040
1123091762
1212a63940
139284b2c
145c85224
153d775b0
hex2a5d780

44423040 has 128 divisors (see below), whose sum is σ = 150037920. Its totient is φ = 11141120.

The previous prime is 44423039. The next prime is 44423053. The reversal of 44423040 is 4032444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 44422998 and 44423016.

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, 31960 + ... + 33320.

Almost surely, 244423040 is an apocalyptic number.

44423040 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 44423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75018960).

44423040 is an abundant number, since it is smaller than the sum of its proper divisors (105614880).

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

44423040 is a wasteful number, since it uses less digits than its factorization.

44423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 44423040 is about 6665.0611400046. The cubic root of 44423040 is about 354.1626498891.

Adding to 44423040 its reverse (4032444), we get a palindrome (48455484).

The spelling of 44423040 in words is "forty-four million, four hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1361 1632 1920 2040 2176 2720 2722 3264 4080 4083 5440 5444 6528 6805 8160 8166 10880 10888 13610 16320 16332 20415 21776 23137 27220 32640 32664 40830 43552 46274 54440 65328 69411 81660 87104 92548 108880 115685 130656 138822 163320 174208 185096 217760 231370 261312 277644 326640 347055 370192 435520 462740 522624 555288 653280 694110 740384 871040 925480 1110576 1306560 1388220 1480768 1850960 2221152 2613120 2776440 2961536 3701920 4442304 5552880 7403840 8884608 11105760 14807680 22211520 44423040