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5273856 = 28337109
BaseRepresentation
bin10100000111100100000000
3100220221101000
4110013210000
52322230411
6305012000
762553450
oct24074400
910827330
105273856
112a82365
121924000
131128633
149b3d60
156e2956
hex507900

5273856 has 144 divisors (see below), whose sum is σ = 17987200. Its totient is φ = 1492992.

The previous prime is 5273839. The next prime is 5273857. The reversal of 5273856 is 6583725.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5273856.

It is not an unprimeable number, because it can be changed into a prime (5273857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48330 + ... + 48438.

Almost surely, 25273856 is an apocalyptic number.

5273856 is a gapful number since it is divisible by the number (56) 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 5273856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993600).

5273856 is an abundant number, since it is smaller than the sum of its proper divisors (12713344).

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

5273856 is a wasteful number, since it uses less digits than its factorization.

5273856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 5273856 is about 2296.4877530699. The cubic root of 5273856 is about 174.0641855948.

The spelling of 5273856 in words is "five million, two hundred seventy-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 109 112 126 128 144 168 189 192 216 218 224 252 256 288 327 336 378 384 432 436 448 504 576 654 672 756 763 768 864 872 896 981 1008 1152 1308 1344 1512 1526 1728 1744 1792 1962 2016 2289 2304 2616 2688 2943 3024 3052 3456 3488 3924 4032 4578 5232 5376 5886 6048 6104 6867 6912 6976 7848 8064 9156 10464 11772 12096 12208 13734 13952 15696 16128 18312 20601 20928 23544 24192 24416 27468 27904 31392 36624 41202 41856 47088 48384 48832 54936 62784 73248 82404 83712 94176 97664 109872 125568 146496 164808 188352 195328 219744 251136 292992 329616 376704 439488 585984 659232 753408 878976 1318464 1757952 2636928 5273856