Search a number
-
+
289858044 = 223714923159
BaseRepresentation
bin10001010001101…
…110000111111100
3202012102022111010
4101101232013330
51043200424134
644432355220
710116516120
oct2121560774
9665368433
10289858044
11139687703
12810a5b10
1348089748
142a6d3580
151a6a8ce9
hex1146e1fc

289858044 has 48 divisors (see below), whose sum is σ = 778176000. Its totient is φ = 82257216.

The previous prime is 289858043. The next prime is 289858057. The reversal of 289858044 is 440858982.

289858044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 289857984 and 289858002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289858043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 24095.

It is an arithmetic number, because the mean of its divisors is an integer number (16212000).

Almost surely, 2289858044 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 289858044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389088000).

289858044 is an abundant number, since it is smaller than the sum of its proper divisors (488317956).

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

289858044 is a wasteful number, since it uses less digits than its factorization.

289858044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23322 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 289858044 is about 17025.2178840683. The cubic root of 289858044 is about 661.8025746691.

The spelling of 289858044 in words is "two hundred eighty-nine million, eight hundred fifty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 149 298 447 596 894 1043 1788 2086 3129 4172 6258 12516 23159 46318 69477 92636 138954 162113 277908 324226 486339 648452 972678 1945356 3450691 6901382 10352073 13802764 20704146 24154837 41408292 48309674 72464511 96619348 144929022 289858044