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2889216 = 29331119
BaseRepresentation
bin1011000001011000000000
312102210021000
423001120000
51214423331
6141532000
733362241
oct13013000
95383230
102889216
1116a3790
12b74000
137a20c5
14552cc8
153c10e6
hex2c1600

2889216 has 160 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 829440.

The previous prime is 2889209. The next prime is 2889217. The reversal of 2889216 is 6129882.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889217) 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, 152055 + ... + 152073.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

22889216 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 2889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

2889216 is an abundant number, since it is smaller than the sum of its proper divisors (6931584).

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

2889216 is a wasteful number, since it uses less digits than its factorization.

2889216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 2889216 is about 1699.7693961241. The cubic root of 2889216 is about 142.4273313696.

The spelling of 2889216 in words is "two million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 96 99 108 114 128 132 144 152 171 176 192 198 209 216 228 256 264 288 297 304 342 352 384 396 418 432 456 512 513 528 576 594 608 627 684 704 768 792 836 864 912 1026 1056 1152 1188 1216 1254 1368 1408 1536 1584 1672 1728 1824 1881 2052 2112 2304 2376 2432 2508 2736 2816 3168 3344 3456 3648 3762 4104 4224 4608 4752 4864 5016 5472 5632 5643 6336 6688 6912 7296 7524 8208 8448 9504 9728 10032 10944 11286 12672 13376 13824 14592 15048 16416 16896 19008 20064 21888 22572 25344 26752 29184 30096 32832 38016 40128 43776 45144 50688 53504 60192 65664 76032 80256 87552 90288 107008 120384 131328 152064 160512 180576 240768 262656 321024 361152 481536 722304 963072 1444608 2889216