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289228350 = 235241131359
BaseRepresentation
bin10001001111010…
…100011000111110
3202011020022201010
4101033110120332
51043020301400
644411100050
710111254225
oct2117243076
9664208633
10289228350
111392975a4
1280a41626
1347bc8c48
142a5abcbc
151a5d2450
hex113d463e

289228350 has 96 divisors (see below), whose sum is σ = 742452480. Its totient is φ = 74464000.

The previous prime is 289228337. The next prime is 289228399. The reversal of 289228350 is 53822982.

It is a junction number, because it is equal to n+sod(n) for n = 289228299 and 289228308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 805471 + ... + 805829.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2289228350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289228350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

289228350 is an abundant number, since it is smaller than the sum of its proper divisors (453224130).

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

289228350 is a wasteful number, since it uses less digits than its factorization.

289228350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 289228350 is about 17006.7148503172. The cubic root of 289228350 is about 661.3229890498.

The spelling of 289228350 in words is "two hundred eighty-nine million, two hundred twenty-eight thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 131 150 205 246 262 359 393 410 615 655 718 786 1025 1077 1230 1310 1795 1965 2050 2154 3075 3275 3590 3930 5371 5385 6150 6550 8975 9825 10742 10770 14719 16113 17950 19650 26855 26925 29438 32226 44157 47029 53710 53850 73595 80565 88314 94058 134275 141087 147190 161130 220785 235145 268550 282174 367975 402825 441570 470290 705435 735950 805650 1103925 1175725 1410870 1928189 2207850 2351450 3527175 3856378 5784567 7054350 9640945 11569134 19281890 28922835 48204725 57845670 96409450 144614175 289228350