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2028007890 = 232573833719
BaseRepresentation
bin111100011100000…
…1111000111010010
312020100001110211100
41320320033013102
513123132223030
6533123125230
7101153532306
oct17070170722
95210043740
102028007890
11950837387
12487213816
1326420268c
141534a9d06
15bd096360
hex78e0f1d2

2028007890 has 96 divisors (see below), whose sum is σ = 5410903680. Its totient is φ = 526825728.

The previous prime is 2028007889. The next prime is 2028007901. The reversal of 2028007890 is 987008202.

It is a super-2 number, since 2×20280078902 = 8225632003804504200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543451 + ... + 547169.

It is an arithmetic number, because the mean of its divisors is an integer number (56363580).

Almost surely, 22028007890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2028007890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2705451840).

2028007890 is an abundant number, since it is smaller than the sum of its proper divisors (3382895790).

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

2028007890 is a wasteful number, since it uses less digits than its factorization.

2028007890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3888 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2028007890 is about 45033.4085985061. The cubic root of 2028007890 is about 1265.7750961265.

The spelling of 2028007890 in words is "two billion, twenty-eight million, seven thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 83 90 146 166 219 249 365 415 438 498 657 730 747 830 1095 1245 1314 1494 2190 2490 3285 3719 3735 6059 6570 7438 7470 11157 12118 18177 18595 22314 30295 33471 36354 37190 54531 55785 60590 66942 90885 109062 111570 167355 181770 271487 272655 308677 334710 542974 545310 617354 814461 926031 1357435 1543385 1628922 1852062 2443383 2714870 2778093 3086770 4072305 4630155 4886766 5556186 8144610 9260310 12216915 13890465 22533421 24433830 27780930 45066842 67600263 112667105 135200526 202800789 225334210 338001315 405601578 676002630 1014003945 2028007890