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289521216 = 263455849
BaseRepresentation
bin10001010000011…
…011111001000000
3202011210012110000
4101100123321000
51043104134331
644421240000
710113614115
oct2120337100
9664705400
10289521216
11139477636
1280b63000
1347c9c33a
142a64690c
151a63e0e6
hex1141be40

289521216 has 70 divisors (see below), whose sum is σ = 858246950. Its totient is φ = 96505344.

The previous prime is 289521191. The next prime is 289521229. The reversal of 289521216 is 612125982.

It can be written as a sum of positive squares in only one way, i.e., 279023616 + 10497600 = 16704^2 + 3240^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22741 + ... + 33108.

Almost surely, 2289521216 is an apocalyptic number.

It is an amenable number.

289521216 is an abundant number, since it is smaller than the sum of its proper divisors (568725734).

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

289521216 is an equidigital number, since it uses as much as digits as its factorization.

289521216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55873 (or 55854 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 289521216 is about 17015.3229766584. The cubic root of 289521216 is about 661.5461272537.

The spelling of 289521216 in words is "two hundred eighty-nine million, five hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 55849 111698 167547 223396 335094 446792 502641 670188 893584 1005282 1340376 1507923 1787168 2010564 2680752 3015846 3574336 4021128 4523769 5361504 6031692 8042256 9047538 10723008 12063384 16084512 18095076 24126768 32169024 36190152 48253536 72380304 96507072 144760608 289521216