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5038601300 = 2252109503919
BaseRepresentation
bin1001011000101001…
…01111010001010100
3111000011000110120222
410230110233101110
540304340220200
62151550413512
7235601255465
oct45424572124
914004013528
105038601300
112156182807
12b87501298
13623b558b5
1435b26cd6c
151e752dd85
hex12c52f454

5038601300 has 72 divisors (see below), whose sum is σ = 11068041600. Its totient is φ = 1990811520.

The previous prime is 5038601273. The next prime is 5038601333. The reversal of 5038601300 is 31068305.

It is a self number, because there is not a number n which added to its sum of digits gives 5038601300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5482241 + ... + 5483159.

It is an arithmetic number, because the mean of its divisors is an integer number (153722800).

Almost surely, 25038601300 is an apocalyptic number.

5038601300 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 5038601300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534020800).

5038601300 is an abundant number, since it is smaller than the sum of its proper divisors (6029440300).

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

5038601300 is a wasteful number, since it uses less digits than its factorization.

5038601300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1538 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5038601300 is about 70983.1057365061. The cubic root of 5038601300 is about 1714.3651569997.

Adding to 5038601300 its reverse (31068305), we get a palindrome (5069669605).

The spelling of 5038601300 in words is "five billion, thirty-eight million, six hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 436 503 545 919 1006 1090 1838 2012 2180 2515 2725 3676 4595 5030 5450 9190 10060 10900 12575 18380 22975 25150 45950 50300 54827 91900 100171 109654 200342 219308 274135 400684 462257 500855 548270 924514 1001710 1096540 1370675 1849028 2003420 2311285 2504275 2741350 4622570 5008550 5482700 9245140 10017100 11556425 23112850 46225700 50386013 100772026 201544052 251930065 503860130 1007720260 1259650325 2519300650 5038601300