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56304100 = 2252563041
BaseRepresentation
bin1101011011001…
…0000111100100
310220221112201001
43112302013210
5103403212400
65330443044
71252401616
oct326620744
9126845631
1056304100
1129867116
1216a33484
13b884948
147698db6
154e22a6a
hex35b21e4

56304100 has 18 divisors (see below), whose sum is σ = 122180114. Its totient is φ = 22521600.

The previous prime is 56304089. The next prime is 56304103. The reversal of 56304100 is 140365.

56304100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 55442916 = 928^2 + 7446^2 .

It is not an unprimeable number, because it can be changed into a prime (56304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281421 + ... + 281620.

Almost surely, 256304100 is an apocalyptic number.

56304100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56304100 is an abundant number, since it is smaller than the sum of its proper divisors (65876014).

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

56304100 is a wasteful number, since it uses less digits than its factorization.

56304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563055 (or 563048 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56304100 is about 7503.6057998805. The cubic root of 56304100 is about 383.2775134011.

Adding to 56304100 its reverse (140365), we get a palindrome (56444465).

It can be divided in two parts, 5630 and 4100, that added together give a triangular number (9730 = T139).

The spelling of 56304100 in words is "fifty-six million, three hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 563041 1126082 2252164 2815205 5630410 11260820 14076025 28152050 56304100