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5056523300 = 2252537011361
BaseRepresentation
bin1001011010110010…
…00110110000100100
3111001101201222221202
410231121012300210
540323432221200
62153430502032
7236206511303
oct45531066044
914041658852
105056523300
112165303884
12b91504918
1362778c22a
1435d7b643a
151e8dbe1d5
hex12d646c24

5056523300 has 72 divisors (see below), whose sum is σ = 11203861032. Its totient is φ = 1980160000.

The previous prime is 5056523293. The next prime is 5056523309. The reversal of 5056523300 is 33256505.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 758671936 + 4297851364 = 27544^2 + 65558^2 .

It is not an unprimeable number, because it can be changed into a prime (5056523309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3714620 + ... + 3715980.

It is an arithmetic number, because the mean of its divisors is an integer number (155609181).

Almost surely, 25056523300 is an apocalyptic number.

5056523300 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 5056523300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601930516).

5056523300 is an abundant number, since it is smaller than the sum of its proper divisors (6147337732).

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

5056523300 is a wasteful number, since it uses less digits than its factorization.

5056523300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 5056523300 is about 71109.2349839316. The cubic root of 5056523300 is about 1716.3953828182.

Adding to 5056523300 its reverse (33256505), we get a palindrome (5089779805).

The spelling of 5056523300 in words is "five billion, fifty-six million, five hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 701 1060 1325 1361 1402 2650 2722 2804 3505 5300 5444 6805 7010 13610 14020 17525 27220 34025 35050 37153 68050 70100 72133 74306 136100 144266 148612 185765 288532 360665 371530 721330 743060 928825 954061 1442660 1803325 1857650 1908122 3606650 3715300 3816244 4770305 7213300 9540610 19081220 23851525 47703050 50565233 95406100 101130466 202260932 252826165 505652330 1011304660 1264130825 2528261650 5056523300