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54441024 = 26311149173
BaseRepresentation
bin1100111110101…
…1010001000000
310210102220001020
43033223101000
5102414103044
65222505440
71230512121
oct317532100
9123386036
1054441024
1128804390
1216295280
13b381931
147332048
154ba5a19
hex33eb440

54441024 has 112 divisors (see below), whose sum is σ = 159105600. Its totient is φ = 16291840.

The previous prime is 54440983. The next prime is 54441043. The reversal of 54441024 is 42014445.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 54440985 and 54441003.

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, 314602 + ... + 314774.

Almost surely, 254441024 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 54441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79552800).

54441024 is an abundant number, since it is smaller than the sum of its proper divisors (104664576).

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

54441024 is a wasteful number, since it uses less digits than its factorization.

54441024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 54441024 is about 7378.4160901917. The cubic root of 54441024 is about 379.0025178345.

Adding to 54441024 its reverse (42014445), we get a palindrome (96455469).

The spelling of 54441024 in words is "fifty-four million, four hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 149 173 176 192 264 298 346 352 447 519 528 596 692 704 894 1038 1056 1192 1384 1639 1788 1903 2076 2112 2384 2768 3278 3576 3806 4152 4768 4917 5536 5709 6556 7152 7612 8304 9536 9834 11072 11418 13112 14304 15224 16608 19668 22836 25777 26224 28608 30448 33216 39336 45672 51554 52448 60896 77331 78672 91344 103108 104896 121792 154662 157344 182688 206216 283547 309324 314688 365376 412432 567094 618648 824864 850641 1134188 1237296 1649728 1701282 2268376 2474592 3402564 4536752 4949184 6805128 9073504 13610256 18147008 27220512 54441024