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5682647232 = 26334180209
BaseRepresentation
bin1010100101011011…
…00101000011000000
3112200000220101112000
411102231211003000
543114224202412
62335514504000
7260551463433
oct52255450300
915600811460
105682647232
112456784a79
121127135000
136c7403772
143bc9dd81a
15233d4c4dc
hex152b650c0

5682647232 has 112 divisors (see below), whose sum is σ = 17113605600. Its totient is φ = 1847992320.

The previous prime is 5682647213. The next prime is 5682647233. The reversal of 5682647232 is 2327462865.

5682647232 is a `hidden beast` number, since 568 + 2 + 64 + 7 + 23 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (5682647233) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30744 + ... + 110952.

It is an arithmetic number, because the mean of its divisors is an integer number (152800050).

Almost surely, 25682647232 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 5682647232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556802800).

5682647232 is an abundant number, since it is smaller than the sum of its proper divisors (11430958368).

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

5682647232 is a wasteful number, since it uses less digits than its factorization.

5682647232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80271 (or 80255 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5682647232 is about 75383.3352406220. The cubic root of 5682647232 is about 1784.5014242026.

The spelling of 5682647232 in words is "five billion, six hundred eighty-two million, six hundred forty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 864 984 1107 1312 1476 1728 1968 2214 2624 2952 3936 4428 5904 7872 8856 11808 17712 23616 35424 70848 80209 160418 240627 320836 481254 641672 721881 962508 1283344 1443762 1925016 2165643 2566688 2887524 3288569 3850032 4331286 5133376 5775048 6577138 7700064 8662572 9865707 11550096 13154276 15400128 17325144 19731414 23100192 26308552 29597121 34650288 39462828 46200384 52617104 59194242 69300576 78925656 88791363 105234208 118388484 138601152 157851312 177582726 210468416 236776968 315702624 355165452 473553936 631405248 710330904 947107872 1420661808 1894215744 2841323616 5682647232