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5009300800 = 26527447259
BaseRepresentation
bin1001010101001001…
…11101110101000000
3110221002212211212021
410222210331311000
540224340111200
62145022411224
7235064232340
oct45244756500
913832784767
105009300800
11214068a919
12b79730b14
1361aa6711a
14357402d20
151e4b9241a
hex12a93dd40

5009300800 has 84 divisors (see below), whose sum is σ = 14086900960. Its totient is φ = 1717470720.

The previous prime is 5009300789. The next prime is 5009300827. The reversal of 5009300800 is 80039005.

It is a super-3 number, since 3×50093008003 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212430 + ... + 234829.

Almost surely, 25009300800 is an apocalyptic number.

5009300800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5009300800 is an abundant number, since it is smaller than the sum of its proper divisors (9077600160).

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

5009300800 is a wasteful number, since it uses less digits than its factorization.

5009300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447288 (or 447273 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 5009300800 is about 70776.4141504781. The cubic root of 5009300800 is about 1711.0355662131.

Adding to 5009300800 its reverse (80039005), we get a palindrome (5089339805).

It can be divided in two parts, 5009 and 300800, that added together give a square (305809 = 5532).

The spelling of 5009300800 in words is "five billion, nine million, three hundred thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 140 160 175 200 224 280 320 350 400 448 560 700 800 1120 1400 1600 2240 2800 5600 11200 447259 894518 1789036 2236295 3130813 3578072 4472590 6261626 7156144 8945180 11181475 12523252 14312288 15654065 17890360 22362950 25046504 28624576 31308130 35780720 44725900 50093008 62616260 71561440 78270325 89451800 100186016 125232520 143122880 156540650 178903600 200372032 250465040 313081300 357807200 500930080 626162600 715614400 1001860160 1252325200 2504650400 5009300800