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289806948 = 223271113383
BaseRepresentation
bin10001010001100…
…001101001100100
3202012022201101200
4101101201221210
51043142310243
644431322500
710116214134
oct2121415144
9665281350
10289806948
11139652282
1281080430
134806c402
142a6bcac4
151a698ad3
hex11461a64

289806948 has 36 divisors (see below), whose sum is σ = 742891968. Its totient is φ = 95240880.

The previous prime is 289806931. The next prime is 289806949. The reversal of 289806948 is 849608982.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 289806894 and 289806903.

It is not an unprimeable number, because it can be changed into a prime (289806949) 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 11 ways as a sum of consecutive naturals, for example, 54136 + ... + 59247.

It is an arithmetic number, because the mean of its divisors is an integer number (20635888).

Almost surely, 2289806948 is an apocalyptic number.

It is an amenable number.

289806948 is an abundant number, since it is smaller than the sum of its proper divisors (453085020).

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

289806948 is a wasteful number, since it uses less digits than its factorization.

289806948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113464 (or 113459 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 289806948 is about 17023.7172203958. The cubic root of 289806948 is about 661.7636849985.

The spelling of 289806948 in words is "two hundred eighty-nine million, eight hundred six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 113383 226766 340149 453532 680298 1020447 1360596 2040894 4081788 8050193 16100386 24150579 32200772 48301158 72451737 96602316 144903474 289806948