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289499616 = 25337151317
BaseRepresentation
bin10001010000010…
…110100111100000
3202011202002211000
4101100112213200
51043102441431
644420552000
710113464130
oct2120264740
9664662730
10289499616
1113946238a
1280b52600
1347c92563
142a63cac0
151a6379e6
hex114169e0

289499616 has 192 divisors, whose sum is σ = 974453760. Its totient is φ = 81907200.

The previous prime is 289499603. The next prime is 289499641. The reversal of 289499616 is 616994982.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 913090 + ... + 913406.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2289499616 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 289499616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487226880).

289499616 is an abundant number, since it is smaller than the sum of its proper divisors (684954144).

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

289499616 is a wasteful number, since it uses less digits than its factorization.

289499616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 480 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 289499616 is about 17014.6882428095. The cubic root of 289499616 is about 661.5296750896.

The spelling of 289499616 in words is "two hundred eighty-nine million, four hundred ninety-nine thousand, six hundred sixteen".