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5301028000 = 25532635039
BaseRepresentation
bin1001110111111011…
…10100010010100000
3111200102211010100101
410323331310102200
541324030344000
62234003232144
7245235665062
oct47375642240
914612733311
105301028000
112280323884
12103b378654
13666329578
14384061732
152105b9e6a
hex13bf744a0

5301028000 has 96 divisors (see below), whose sum is σ = 13076743680. Its totient is φ = 2111929600.

The previous prime is 5301027997. The next prime is 5301028013. The reversal of 5301028000 is 8201035.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049481 + ... + 1054519.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 25301028000 is an apocalyptic number.

5301028000 is a gapful number since it is divisible by the number (50) 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 5301028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

5301028000 is an abundant number, since it is smaller than the sum of its proper divisors (7775715680).

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

5301028000 is a wasteful number, since it uses less digits than its factorization.

5301028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5327 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 5301028000 is about 72808.1588834658. The cubic root of 5301028000 is about 1743.6261192467.

Adding to 5301028000 its reverse (8201035), we get a palindrome (5309229035).

The spelling of 5301028000 in words is "five billion, three hundred one million, twenty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 263 400 500 526 800 1000 1052 1315 2000 2104 2630 4000 4208 5039 5260 6575 8416 10078 10520 13150 20156 21040 25195 26300 32875 40312 42080 50390 52600 65750 80624 100780 105200 125975 131500 161248 201560 210400 251950 263000 403120 503900 526000 629875 806240 1007800 1052000 1259750 1325257 2015600 2519500 2650514 4031200 5039000 5301028 6626285 10078000 10602056 13252570 20156000 21204112 26505140 33131425 42408224 53010280 66262850 106020560 132525700 165657125 212041120 265051400 331314250 530102800 662628500 1060205600 1325257000 2650514000 5301028000