Search a number
-
+
4268923569 = 322927512
BaseRepresentation
bin1111111001110010…
…1001101010110001
3102000111201210020100
43332130221222301
532220321023234
61543333503013
7210534152211
oct37634515261
912014653210
104268923569
1118a0772509
129b17a1a69
1353055b5a1
142c6d58241
1519eb96399
hexfe729ab1

4268923569 has 27 divisors (see below), whose sum is σ = 6394698219. Its totient is φ = 2744154000.

The previous prime is 4268923501. The next prime is 4268923577. The reversal of 4268923569 is 9653298624.

It is a happy number.

The square root of 4268923569 is 65337.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2238519969 + 2030403600 = 47313^2 + 45060^2 .

It is not a de Polignac number, because 4268923569 - 213 = 4268915377 is a prime.

It is a super-3 number, since 3×42689235693 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4268923969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5683944 + ... + 5684694.

Almost surely, 24268923569 is an apocalyptic number.

4268923569 is the 65337-th square number.

4268923569 is the 32669-th centered octagonal number.

It is an amenable number.

4268923569 is a deficient number, since it is larger than the sum of its proper divisors (2125774650).

4268923569 is an frugal number, since it uses more digits than its factorization.

4268923569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 783 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The cubic root of 4268923569 is about 1622.2064595747.

The spelling of 4268923569 in words is "four billion, two hundred sixty-eight million, nine hundred twenty-three thousand, five hundred sixty-nine".

Divisors: 1 3 9 29 87 261 751 841 2253 2523 6759 7569 21779 65337 196011 564001 631591 1692003 1894773 5076009 5684319 16356029 49068087 147204261 474324841 1422974523 4268923569