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289253568 = 26319372143
BaseRepresentation
bin10001001111011…
…010100011000000
3202011021121022010
4101033122203000
51043022103233
644411412520
710111420602
oct2117324300
9664247263
10289253568
1113930453a
1280a54140
1347c07576
142a5b7172
151a5d9b63
hex113da8c0

289253568 has 112 divisors (see below), whose sum is σ = 827755520. Its totient is φ = 88833024.

The previous prime is 289253563. The next prime is 289253581. The reversal of 289253568 is 865352982.

289253568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289253563) 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, 133905 + ... + 136047.

Almost surely, 2289253568 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 289253568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413877760).

289253568 is an abundant number, since it is smaller than the sum of its proper divisors (538501952).

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

289253568 is a wasteful number, since it uses less digits than its factorization.

289253568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2204 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 289253568 is about 17007.4562471876. The cubic root of 289253568 is about 661.3422088790.

The spelling of 289253568 in words is "two hundred eighty-nine million, two hundred fifty-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 37 38 48 57 64 74 76 96 111 114 148 152 192 222 228 296 304 444 456 592 608 703 888 912 1184 1216 1406 1776 1824 2109 2143 2368 2812 3552 3648 4218 4286 5624 6429 7104 8436 8572 11248 12858 16872 17144 22496 25716 33744 34288 40717 44992 51432 67488 68576 79291 81434 102864 122151 134976 137152 158582 162868 205728 237873 244302 317164 325736 411456 475746 488604 634328 651472 951492 977208 1268656 1302944 1506529 1902984 1954416 2537312 2605888 3013058 3805968 3908832 4519587 5074624 6026116 7611936 7817664 9039174 12052232 15223872 18078348 24104464 36156696 48208928 72313392 96417856 144626784 289253568