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289851056 = 241129109521
BaseRepresentation
bin10001010001101…
…100011010110000
3202012101221220022
4101101230122300
51043200213211
644432303012
710116456545
oct2121543260
9665357808
10289851056
11139682430
12810a1a68
1348086501
142a6d0bcc
151a6a6bdb
hex1146c6b0

289851056 has 80 divisors (see below), whose sum is σ = 640807200. Its totient is φ = 125798400.

The previous prime is 289851053. The next prime is 289851101. The reversal of 289851056 is 650158982.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 289850998 and 289851016.

It is not an unprimeable number, because it can be changed into a prime (289851053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556076 + ... + 556596.

It is an arithmetic number, because the mean of its divisors is an integer number (8010090).

Almost surely, 2289851056 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 289851056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320403600).

289851056 is an abundant number, since it is smaller than the sum of its proper divisors (350956144).

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

289851056 is a wasteful number, since it uses less digits than its factorization.

289851056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 289851056 is about 17025.0126578514. The cubic root of 289851056 is about 661.7972563030.

The spelling of 289851056 in words is "two hundred eighty-nine million, eight hundred fifty-one thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 109 116 176 218 232 319 436 464 521 638 872 1042 1199 1276 1744 2084 2398 2552 3161 4168 4796 5104 5731 6322 8336 9592 11462 12644 15109 19184 22924 25288 30218 34771 45848 50576 56789 60436 69542 91696 113578 120872 139084 166199 227156 241744 278168 332398 454312 556336 624679 664796 908624 1249358 1329592 1646881 2498716 2659184 3293762 4997432 6587524 9994864 13175048 18115691 26350096 36231382 72462764 144925528 289851056