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289939648 = 2673229271
BaseRepresentation
bin10001010010000…
…010000011000000
3202012120110102111
4101102002003000
51043211032043
644434225104
710120306045
oct2122020300
9665513374
10289939648
11139732a49
1281125194
13480b792b
142a7151cc
151a6c309d
hex114820c0

289939648 has 56 divisors (see below), whose sum is σ = 587938880. Its totient is φ = 141834240.

The previous prime is 289939597. The next prime is 289939681. The reversal of 289939648 is 846939982.

It is a junction number, because it is equal to n+sod(n) for n = 289939592 and 289939601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069753 + ... + 1070023.

Almost surely, 2289939648 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 289939648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293969440).

289939648 is an abundant number, since it is smaller than the sum of its proper divisors (297999232).

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

289939648 is a wasteful number, since it uses less digits than its factorization.

289939648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 575 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 58.

The square root of 289939648 is about 17027.6142779897. The cubic root of 289939648 is about 661.8646748030.

The spelling of 289939648 in words is "two hundred eighty-nine million, nine hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 73 146 229 271 292 458 542 584 916 1084 1168 1832 2168 2336 3664 4336 4672 7328 8672 14656 16717 17344 19783 33434 39566 62059 66868 79132 124118 133736 158264 248236 267472 316528 496472 534944 633056 992944 1069888 1266112 1985888 3971776 4530307 9060614 18121228 36242456 72484912 144969824 289939648