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5005303000 = 235319263437
BaseRepresentation
bin1001010100101011…
…01101110011011000
3110220211100201220121
410222111231303120
540222324144000
62144401003024
7235015242055
oct45225556330
913824321817
105005303000
1121393aa255
12b78323474
13619c97569
14356a8202c
151e4652b1a
hex12a56dcd8

5005303000 has 64 divisors (see below), whose sum is σ = 12328898400. Its totient is φ = 1896739200.

The previous prime is 5005302931. The next prime is 5005303007. The reversal of 5005303000 is 3035005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005303007) by changing a digit.

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, 112719 + ... + 150718.

Almost surely, 25005303000 is an apocalyptic number.

5005303000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5005303000 is an abundant number, since it is smaller than the sum of its proper divisors (7323595400).

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

5005303000 is a wasteful number, since it uses less digits than its factorization.

5005303000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263477 (or 263463 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 5005303000 is about 70748.1660539692. The cubic root of 5005303000 is about 1710.5802665761.

Adding to 5005303000 its reverse (3035005), we get a palindrome (5008338005).

The spelling of 5005303000 in words is "five billion, five million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 380 475 500 760 950 1000 1900 2375 3800 4750 9500 19000 263437 526874 1053748 1317185 2107496 2634370 5005303 5268740 6585925 10010606 10537480 13171850 20021212 25026515 26343700 32929625 40042424 50053030 52687400 65859250 100106060 125132575 131718500 200212120 250265150 263437000 500530300 625662875 1001060600 1251325750 2502651500 5005303000