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289658380 = 225112983547
BaseRepresentation
bin10001010000111…
…101011000001100
3202012001011121011
4101100331120030
51043123032010
644424215004
710115025034
oct2120753014
9665034534
10289658380
111395606a0
128100a464
13480198bb
142a6808c4
151a669a8a
hex1143d60c

289658380 has 96 divisors (see below), whose sum is σ = 696003840. Its totient is φ = 100289280.

The previous prime is 289658371. The next prime is 289658387. The reversal of 289658380 is 83856982.

It is a Smith number, since the sum of its digits (49) 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 (289658387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529267 + ... + 529813.

It is an arithmetic number, because the mean of its divisors is an integer number (7250040).

Almost surely, 2289658380 is an apocalyptic number.

289658380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289658380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348001920).

289658380 is an abundant number, since it is smaller than the sum of its proper divisors (406345460).

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

289658380 is a wasteful number, since it uses less digits than its factorization.

289658380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

The square root of 289658380 is about 17019.3531016899. The cubic root of 289658380 is about 661.6505824508.

The spelling of 289658380 in words is "two hundred eighty-nine million, six hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 83 110 116 145 166 220 290 319 332 415 547 580 638 830 913 1094 1276 1595 1660 1826 2188 2407 2735 3190 3652 4565 4814 5470 6017 6380 9130 9628 10940 12034 12035 15863 18260 24068 24070 26477 30085 31726 45401 48140 52954 60170 63452 79315 90802 105908 120340 132385 158630 174493 181604 227005 264770 317260 348986 454010 499411 529540 697972 872465 908020 998822 1316629 1744930 1997644 2497055 2633258 3489860 4994110 5266516 6583145 9988220 13166290 14482919 26332580 28965838 57931676 72414595 144829190 289658380