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2826880420 = 2257131981749
BaseRepresentation
bin1010100001111110…
…1100010110100100
321022000021101220211
42220133230112210
521242140133140
61144301505204
7130024041610
oct25037542644
97260241824
102826880420
111220778111
1266a872204
1336087c310
141cb620340
151182992ea
hexa87ec5a4

2826880420 has 96 divisors (see below), whose sum is σ = 7691040000. Its totient is φ = 847563264.

The previous prime is 2826880387. The next prime is 2826880499. The reversal of 2826880420 is 240886282.

2826880420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6295 + ... + 75454.

It is an arithmetic number, because the mean of its divisors is an integer number (80115000).

Almost surely, 22826880420 is an apocalyptic number.

2826880420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2826880420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845520000).

2826880420 is an abundant number, since it is smaller than the sum of its proper divisors (4864159580).

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

2826880420 is a wasteful number, since it uses less digits than its factorization.

2826880420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81797 (or 81795 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 2826880420 is about 53168.4156243159. The cubic root of 2826880420 is about 1413.9557312453.

The spelling of 2826880420 in words is "two billion, eight hundred twenty-six million, eight hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 52 65 70 76 91 95 130 133 140 182 190 247 260 266 364 380 455 494 532 665 910 988 1235 1330 1729 1820 2470 2660 3458 4940 6916 8645 17290 34580 81749 163498 326996 408745 572243 817490 1062737 1144486 1553231 1634980 2125474 2288972 2861215 3106462 4250948 5313685 5722430 6212924 7439159 7766155 10627370 10872617 11444860 14878318 15532310 20192003 21254740 21745234 29756636 31064620 37195795 40384006 43490468 54363085 74391590 80768012 100960015 108726170 141344021 148783180 201920030 217452340 282688042 403840060 565376084 706720105 1413440210 2826880420