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289876692 = 223719296263
BaseRepresentation
bin10001010001110…
…010101011010100
3202012110021001210
4101101302223110
51043202023232
644433021420
710116624360
oct2121625324
9665407053
10289876692
1113969a716
12810b4870
1348095091
142a6da2a0
151a6ae5cc
hex11472ad4

289876692 has 96 divisors (see below), whose sum is σ = 841881600. Its totient is φ = 75745152.

The previous prime is 289876687. The next prime is 289876693. The reversal of 289876692 is 296678982.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289876693) 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 31 ways as a sum of consecutive naturals, for example, 43153 + ... + 49415.

It is an arithmetic number, because the mean of its divisors is an integer number (8769600).

Almost surely, 2289876692 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 289876692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420940800).

289876692 is an abundant number, since it is smaller than the sum of its proper divisors (552004908).

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

289876692 is a wasteful number, since it uses less digits than its factorization.

289876692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6325 (or 6323 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 289876692 is about 17025.7655334496. The cubic root of 289876692 is about 661.8167667078.

The spelling of 289876692 in words is "two hundred eighty-nine million, eight hundred seventy-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 29 38 42 57 58 76 84 87 114 116 133 174 203 228 266 348 399 406 532 551 609 798 812 1102 1218 1596 1653 2204 2436 3306 3857 6263 6612 7714 11571 12526 15428 18789 23142 25052 37578 43841 46284 75156 87682 118997 131523 175364 181627 237994 263046 356991 363254 475988 526092 544881 713982 726508 832979 1089762 1271389 1427964 1665958 2179524 2498937 2542778 3331916 3450913 3814167 4997874 5085556 6901826 7628334 9995748 10352739 13803652 15256668 20705478 24156391 41410956 48312782 72469173 96625564 144938346 289876692