Search a number
-
+
4505256 = 2332721277
BaseRepresentation
bin10001001011111010101000
322110220001100
4101023322220
52123132011
6240321400
753202600
oct21137250
98426040
104505256
1125a7958
121613260
13c19842
14853c00
155ded56
hex44bea8

4505256 has 72 divisors (see below), whose sum is σ = 14204970. Its totient is φ = 1286208.

The previous prime is 4505233. The next prime is 4505257. The reversal of 4505256 is 6525054.

It can be written as a sum of positive squares in only one way, i.e., 3572100 + 933156 = 1890^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (4505257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2890 + ... + 4166.

Almost surely, 24505256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4505256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102485).

4505256 is an abundant number, since it is smaller than the sum of its proper divisors (9699714).

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

4505256 is a wasteful number, since it uses less digits than its factorization.

4505256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4505256 is about 2122.5588331069. The cubic root of 4505256 is about 165.1606149527.

It can be divided in two parts, 4505 and 256, that added together give a square (4761 = 692).

The spelling of 4505256 in words is "four million, five hundred five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1277 1764 2554 3528 3831 5108 7662 8939 10216 11493 15324 17878 22986 26817 30648 35756 45972 53634 62573 71512 80451 91944 107268 125146 160902 187719 214536 250292 321804 375438 500584 563157 643608 750876 1126314 1501752 2252628 4505256