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44130912 = 2537173863
BaseRepresentation
bin1010100001011…
…0001001100000
310002001002020020
42220112021200
542244142122
64213513440
71044051360
oct250261140
9102032206
1044130912
1122a02231
1212942880
1391b1b87
145c0a9a0
153d1ac5c
hex2a16260

44130912 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 11864064.

The previous prime is 44130893. The next prime is 44130913. The reversal of 44130912 is 21903144.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44130913) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9493 + ... + 13355.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 244130912 is an apocalyptic number.

44130912 is a gapful number since it is divisible by the number (42) 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 44130912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

44130912 is an abundant number, since it is smaller than the sum of its proper divisors (96085920).

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

44130912 is a wasteful number, since it uses less digits than its factorization.

44130912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 44130912 is about 6643.1101149988. The cubic root of 44130912 is about 353.3846118370.

The spelling of 44130912 in words is "forty-four million, one hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 3863 5712 7726 11424 11589 15452 23178 27041 30904 46356 54082 61808 65671 81123 92712 108164 123616 131342 162246 185424 197013 216328 262684 324492 370848 394026 432656 459697 525368 648984 788052 865312 919394 1050736 1297968 1379091 1576104 1838788 2101472 2595936 2758182 3152208 3677576 5516364 6304416 7355152 11032728 14710304 22065456 44130912