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289343952 = 24322009333
BaseRepresentation
bin10001001111110…
…000100111010000
3202011110012021200
4101033300213100
51043033001302
644413351200
710112245242
oct2117604720
9664405250
10289343952
11139366437
1280a98500
1347c39751
142a5dc092
151a60681c
hex113f09d0

289343952 has 30 divisors (see below), whose sum is σ = 809761602. Its totient is φ = 96447936.

The previous prime is 289343941. The next prime is 289343953. The reversal of 289343952 is 259343982.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 289136016 + 207936 = 17004^2 + 456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 289343898 and 289343907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289343953) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1004523 + ... + 1004810.

Almost surely, 2289343952 is an apocalyptic number.

It is an amenable number.

289343952 is an abundant number, since it is smaller than the sum of its proper divisors (520417650).

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

289343952 is a wasteful number, since it uses less digits than its factorization.

289343952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009347 (or 2009338 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 289343952 is about 17010.1132271364. The cubic root of 289343952 is about 661.4110856201.

The spelling of 289343952 in words is "two hundred eighty-nine million, three hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2009333 4018666 6027999 8037332 12055998 16074664 18083997 24111996 32149328 36167994 48223992 72335988 96447984 144671976 289343952