Search a number
-
+
28329301 = 7211132311
BaseRepresentation
bin110110000010…
…0010101010101
31222022021111101
41230010111111
524223014201
62451110101
7462536500
oct154042525
958267441
1028329301
1114a9a250
1295a2331
135b3b700
143a96137
152748d01
hex1b04555

28329301 has 36 divisors (see below), whose sum is σ = 39053664. Its totient is φ = 20311200.

The previous prime is 28329299. The next prime is 28329313. The reversal of 28329301 is 10392382.

It is not a de Polignac number, because 28329301 - 21 = 28329299 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 28329301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28321301) 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 35 ways as a sum of consecutive naturals, for example, 90936 + ... + 91246.

It is an arithmetic number, because the mean of its divisors is an integer number (1084824).

Almost surely, 228329301 is an apocalyptic number.

It is an amenable number.

28329301 is a deficient number, since it is larger than the sum of its proper divisors (10724363).

28329301 is a wasteful number, since it uses less digits than its factorization.

28329301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 28329301 is about 5322.5276889839. The cubic root of 28329301 is about 304.8446794943.

It can be divided in two parts, 283 and 29301, that added together give a square (29584 = 1722).

The spelling of 28329301 in words is "twenty-eight million, three hundred twenty-nine thousand, three hundred one".

Divisors: 1 7 11 13 49 77 91 143 169 311 539 637 1001 1183 1859 2177 3421 4043 7007 8281 13013 15239 23947 28301 44473 52559 91091 167629 198107 311311 367913 578149 2179177 2575391 4047043 28329301