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2889069400 = 235272294803
BaseRepresentation
bin1010110000110011…
…1011001101011000
321110100021221011101
42230030323031120
521404100210100
61154402441144
7131410453600
oct25414731530
97410257141
102889069400
111252893668
126876631b4
13370714729
141d59abc00
1511d98086a
hexac33b358

2889069400 has 72 divisors (see below), whose sum is σ = 7813780020. Its totient is φ = 990534720.

The previous prime is 2889069361. The next prime is 2889069401. The reversal of 2889069400 is 49609882.

2889069400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2889069401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 137602 + ... + 157201.

Almost surely, 22889069400 is an apocalyptic number.

2889069400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2889069400 is an abundant number, since it is smaller than the sum of its proper divisors (4924710620).

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

2889069400 is a wasteful number, since it uses less digits than its factorization.

2889069400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294833 (or 294817 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 2889069400 is about 53750.0641860082. The cubic root of 2889069400 is about 1424.2492238853.

The spelling of 2889069400 in words is "two billion, eight hundred eighty-nine million, sixty-nine thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 294803 589606 1179212 1474015 2063621 2358424 2948030 4127242 5896060 7370075 8254484 10318105 11792120 14445347 14740150 16508968 20636210 28890694 29480300 41272420 51590525 57781388 58960600 72226735 82544840 103181050 115562776 144453470 206362100 288906940 361133675 412724200 577813880 722267350 1444534700 2889069400