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289990992 = 243231931361
BaseRepresentation
bin10001010010001…
…110100101010000
3202012200001212010
4101102032211100
51043214202432
644435302520
710120611534
oct2122164520
9665601763
10289990992
11139768585
128114aa40
1348105105
142a729bc4
151a6d33cc
hex1148e950

289990992 has 80 divisors (see below), whose sum is σ = 786342528. Its totient is φ = 91914240.

The previous prime is 289990979. The next prime is 289990993. The reversal of 289990992 is 299099982.

It is a super-2 number, since 2×2899909922 = 168189550882288128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289990993) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 212392 + ... + 213752.

Almost surely, 2289990992 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 289990992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393171264).

289990992 is an abundant number, since it is smaller than the sum of its proper divisors (496351536).

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

289990992 is a wasteful number, since it uses less digits than its factorization.

289990992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 57.

The square root of 289990992 is about 17029.1218798856. The cubic root of 289990992 is about 661.9037412941.

The spelling of 289990992 in words is "two hundred eighty-nine million, nine hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 193 276 368 386 552 579 772 1104 1158 1361 1544 2316 2722 3088 4083 4439 4632 5444 8166 8878 9264 10888 13317 16332 17756 21776 26634 31303 32664 35512 53268 62606 65328 71024 93909 106536 125212 187818 213072 250424 262673 375636 500848 525346 751272 788019 1050692 1502544 1576038 2101384 3152076 4202768 6041479 6304152 12082958 12608304 18124437 24165916 36248874 48331832 72497748 96663664 144995496 289990992