Search a number
-
+
289445288 = 23112923911
BaseRepresentation
bin10001010000001…
…001010110101000
3202011122100021212
4101100021112220
51043044222123
644415452252
710113146546
oct2120112650
9664570255
10289445288
11139425590
1280b27088
1347c73902
142a626d96
151a626878
hex114095a8

289445288 has 48 divisors (see below), whose sum is σ = 613323360. Its totient is φ = 126996800.

The previous prime is 289445287. The next prime is 289445291. The reversal of 289445288 is 882544982.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (289445287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72053 + ... + 75963.

It is an arithmetic number, because the mean of its divisors is an integer number (12777570).

Almost surely, 2289445288 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 289445288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306661680).

289445288 is an abundant number, since it is smaller than the sum of its proper divisors (323878072).

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

289445288 is a wasteful number, since it uses less digits than its factorization.

289445288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3953 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The square root of 289445288 is about 17013.0916649503. The cubic root of 289445288 is about 661.4882912321.

The spelling of 289445288 in words is "two hundred eighty-nine million, four hundred forty-five thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 841 1276 1682 2552 3364 3911 6728 7822 9251 15644 18502 31288 37004 43021 74008 86042 113419 172084 226838 344168 453676 907352 1247609 2495218 3289151 4990436 6578302 9980872 13156604 26313208 36180661 72361322 144722644 289445288