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53447472 = 24331331307
BaseRepresentation
bin1100101111100…
…0101100110000
310201120102011000
43023320230300
5102140304342
65145322000
71216203351
oct313705460
9121512130
1053447472
1128195971
1215a96300
13b0c4630
147153d28
154a5b44c
hex32f8b30

53447472 has 160 divisors (see below), whose sum is σ = 171100160. Its totient is φ = 15863040.

The previous prime is 53447467. The next prime is 53447491. The reversal of 53447472 is 27474435.

53447472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173943 + ... + 174249.

It is an arithmetic number, because the mean of its divisors is an integer number (1069376).

Almost surely, 253447472 is an apocalyptic number.

53447472 is a gapful number since it is divisible by the number (52) 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 53447472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85550080).

53447472 is an abundant number, since it is smaller than the sum of its proper divisors (117652688).

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

53447472 is a wasteful number, since it uses less digits than its factorization.

53447472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 94080, while the sum is 36.

The square root of 53447472 is about 7310.7777971978. Note that the first 4 decimals coincide. The cubic root of 53447472 is about 376.6827417196.

The spelling of 53447472 in words is "fifty-three million, four hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 36 39 48 52 54 62 72 78 93 104 108 117 124 144 156 186 208 216 234 248 279 307 312 351 372 403 432 468 496 558 614 624 702 744 806 837 921 936 1116 1209 1228 1404 1488 1612 1674 1842 1872 2232 2418 2456 2763 2808 3224 3348 3627 3684 3991 4464 4836 4912 5526 5616 6448 6696 7254 7368 7982 8289 9517 9672 10881 11052 11973 13392 14508 14736 15964 16578 19034 19344 21762 22104 23946 28551 29016 31928 33156 35919 38068 43524 44208 47892 57102 58032 63856 66312 71838 76136 85653 87048 95784 107757 114204 123721 132624 143676 152272 171306 174096 191568 215514 228408 247442 256959 287352 342612 371163 431028 456816 494884 513918 574704 685224 742326 862056 989768 1027836 1113489 1370448 1484652 1724112 1979536 2055672 2226978 2969304 3340467 4111344 4453956 5938608 6680934 8907912 13361868 17815824 26723736 53447472