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44013424 = 24713193743
BaseRepresentation
bin1010011111100…
…1011101110000
310001211010001211
42213321131300
542231412144
64211205504
71043052010
oct247713560
9101733054
1044013424
1122931a34
12128a6894
139170560
145bb9c40
153ce6034
hex29f9770

44013424 has 160 divisors (see below), whose sum is σ = 116103680. Its totient is φ = 15676416.

The previous prime is 44013419. The next prime is 44013451. The reversal of 44013424 is 42431044.

It is a junction number, because it is equal to n+sod(n) for n = 44013395 and 44013404.

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, 1023547 + ... + 1023589.

It is an arithmetic number, because the mean of its divisors is an integer number (725648).

Almost surely, 244013424 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 44013424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58051840).

44013424 is an abundant number, since it is smaller than the sum of its proper divisors (72090256).

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

44013424 is a wasteful number, since it uses less digits than its factorization.

44013424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 44013424 is about 6634.2613756167. The cubic root of 44013424 is about 353.0707324548.

Adding to 44013424 its reverse (42431044), we get a palindrome (86444468).

The spelling of 44013424 in words is "forty-four million, thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 37 38 43 52 56 74 76 86 91 104 112 133 148 152 172 182 208 247 259 266 296 301 304 344 364 481 494 518 532 559 592 602 688 703 728 817 962 988 1036 1064 1118 1204 1406 1456 1591 1634 1729 1924 1976 2072 2128 2236 2408 2812 3182 3268 3367 3458 3848 3913 3952 4144 4472 4816 4921 5624 5719 6364 6536 6734 6916 7696 7826 8944 9139 9842 10621 11137 11248 11438 12728 13072 13468 13832 15652 18278 19684 20683 21242 22274 22876 25456 26936 27664 30229 31304 36556 39368 41366 42484 44548 45752 53872 60458 62608 63973 73112 74347 78736 82732 84968 89096 91504 120916 127946 144781 146224 148694 165464 169936 178192 211603 241832 255892 289562 297388 330928 392977 423206 483664 511784 579124 594776 785954 846412 1023568 1158248 1189552 1571908 1692824 2316496 2750839 3143816 3385648 5501678 6287632 11003356 22006712 44013424