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44075640 = 23357137383
BaseRepresentation
bin1010100000100…
…0101001111000
310001221021102010
42220020221320
542240410030
64212405520
71043431260
oct250105170
9101837363
1044075640
1122974754
12129168a0
13919297b
145bd47a0
153d096b0
hex2a08a78

44075640 has 128 divisors (see below), whose sum is σ = 152616960. Its totient is φ = 9974784.

The previous prime is 44075639. The next prime is 44075641. The reversal of 44075640 is 4657044.

It is an interprime number because it is at equal distance from previous prime (44075639) and next prime (44075641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44075598 and 44075607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44075641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114889 + ... + 115271.

It is an arithmetic number, because the mean of its divisors is an integer number (1192320).

Almost surely, 244075640 is an apocalyptic number.

44075640 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 44075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76308480).

44075640 is an abundant number, since it is smaller than the sum of its proper divisors (108541320).

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

44075640 is a wasteful number, since it uses less digits than its factorization.

44075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 44075640 is about 6638.9487119573. The cubic root of 44075640 is about 353.2370173770.

The spelling of 44075640 in words is "forty-four million, seventy-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 383 411 420 548 685 766 822 840 959 1096 1149 1370 1532 1644 1915 1918 2055 2298 2681 2740 2877 3064 3288 3830 3836 4110 4596 4795 5362 5480 5745 5754 7660 7672 8043 8220 9192 9590 10724 11490 11508 13405 14385 15320 16086 16440 19180 21448 22980 23016 26810 28770 32172 38360 40215 45960 52471 53620 57540 64344 80430 104942 107240 115080 157413 160860 209884 262355 314826 321720 367297 419768 524710 629652 734594 787065 1049420 1101891 1259304 1469188 1574130 1836485 2098840 2203782 2938376 3148260 3672970 4407564 5509455 6296520 7345940 8815128 11018910 14691880 22037820 44075640