Search a number
-
+
53226405 = 32517411697
BaseRepresentation
bin1100101100001…
…0101110100101
310201011011220100
43023002232211
5102111221110
65140454313
71214263011
oct313025645
9121134810
1053226405
1128054871
12159aa399
13b047b1b
1470d7541
154a15bc0
hex32c2ba5

53226405 has 48 divisors (see below), whose sum is σ = 100127664. Its totient is φ = 26050560.

The previous prime is 53226403. The next prime is 53226409. The reversal of 53226405 is 50462235.

53226405 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 8 ways, for example, as 431649 + 52794756 = 657^2 + 7266^2 .

It is not a de Polignac number, because 53226405 - 21 = 53226403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53226403) 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 47 ways as a sum of consecutive naturals, for example, 30517 + ... + 32213.

It is an arithmetic number, because the mean of its divisors is an integer number (2085993).

Almost surely, 253226405 is an apocalyptic number.

It is an amenable number.

53226405 is a deficient number, since it is larger than the sum of its proper divisors (46901259).

53226405 is a wasteful number, since it uses less digits than its factorization.

53226405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53226405 is about 7295.6428777730. The cubic root of 53226405 is about 376.1626847124.

The spelling of 53226405 in words is "fifty-three million, two hundred twenty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 17 41 45 51 85 123 153 205 255 369 615 697 765 1697 1845 2091 3485 5091 6273 8485 10455 15273 25455 28849 31365 69577 76365 86547 144245 208731 259641 347885 432735 626193 1043655 1182809 1298205 3130965 3548427 5914045 10645281 17742135 53226405