Search a number
-
+
289983402 = 23423223349
BaseRepresentation
bin10001010010001…
…100101110101010
3202012122200110000
4101102030232222
51043213432102
644435203430
710120550442
oct2122145652
9665580400
10289983402
11139762905
1281146576
1348101817
142a727122
151a6d101c
hex1148cbaa

289983402 has 80 divisors (see below), whose sum is σ = 683020800. Its totient is φ = 91780128.

The previous prime is 289983349. The next prime is 289983413. The reversal of 289983402 is 204389982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 830724 + ... + 831072.

It is an arithmetic number, because the mean of its divisors is an integer number (8537760).

Almost surely, 2289983402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289983402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341510400).

289983402 is an abundant number, since it is smaller than the sum of its proper divisors (393037398).

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

289983402 is a wasteful number, since it uses less digits than its factorization.

289983402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 289983402 is about 17028.8990248929. The cubic root of 289983402 is about 661.8979665249.

It can be divided in two parts, 28998 and 3402, that added together give a square (32400 = 1802).

The spelling of 289983402 in words is "two hundred eighty-nine million, nine hundred eighty-three thousand, four hundred two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 223 349 414 446 621 669 698 1047 1242 1338 1863 2007 2094 3141 3726 4014 5129 6021 6282 8027 9423 10258 12042 15387 16054 18063 18846 24081 28269 30774 36126 46161 48162 56538 72243 77827 92322 138483 144486 155654 216729 233481 276966 415449 433458 466962 650187 700443 830898 1300374 1400886 1790021 2101329 3580042 4202658 5370063 6303987 10740126 12607974 16110189 32220378 48330567 96661134 144991701 289983402