Search a number
-
+
2889432 = 23347313
BaseRepresentation
bin1011000001011011011000
312102210120000
423001123120
51214430212
6141533000
733363000
oct13013330
95383500
102889432
1116a3967
12b74160
137a2230
14553000
153c11dc
hex2c16d8

2889432 has 160 divisors (see below), whose sum is σ = 10164000. Its totient is φ = 762048.

The previous prime is 2889427. The next prime is 2889437. The reversal of 2889432 is 2349882.

It is an interprime number because it is at equal distance from previous prime (2889427) and next prime (2889437).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 222258 + ... + 222270.

It is an arithmetic number, because the mean of its divisors is an integer number (63525).

22889432 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 2889432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5082000).

2889432 is an abundant number, since it is smaller than the sum of its proper divisors (7274568).

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

2889432 is a wasteful number, since it uses less digits than its factorization.

2889432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 25 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 2889432 is about 1699.8329329672. The cubic root of 2889432 is about 142.4308806066.

It can be divided in two parts, 2889 and 432, that added together give a triangular number (3321 = T81).

The spelling of 2889432 in words is "two million, eight hundred eighty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 49 52 54 56 63 72 78 81 84 91 98 104 108 117 126 147 156 162 168 182 189 196 216 234 252 273 294 312 324 343 351 364 378 392 441 468 504 546 567 588 637 648 686 702 728 756 819 882 936 1029 1053 1092 1134 1176 1274 1323 1372 1404 1512 1638 1764 1911 2058 2106 2184 2268 2457 2548 2646 2744 2808 3087 3276 3528 3822 3969 4116 4212 4459 4536 4914 5096 5292 5733 6174 6552 7371 7644 7938 8232 8424 8918 9261 9828 10584 11466 12348 13377 14742 15288 15876 17199 17836 18522 19656 22932 24696 26754 27783 29484 31752 34398 35672 37044 40131 45864 51597 53508 55566 58968 68796 74088 80262 103194 107016 111132 120393 137592 160524 206388 222264 240786 321048 361179 412776 481572 722358 963144 1444716 2889432