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2842011828 = 2232592295843
BaseRepresentation
bin1010100101100101…
…1010100010110100
321100001202011022100
42221121122202310
521310023334303
61150002102100
7130266462525
oct25131324264
97301664270
102842011828
111229272607
1267394a930
13363a49706
141cd63c84c
151197878a3
hexa965a8b4

2842011828 has 72 divisors (see below), whose sum is σ = 7338895200. Its totient is φ = 927055296.

The previous prime is 2842011817. The next prime is 2842011841. The reversal of 2842011828 is 8281102482.

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

It is a junction number, because it is equal to n+sod(n) for n = 2842011792 and 2842011801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483475 + ... + 489317.

It is an arithmetic number, because the mean of its divisors is an integer number (101929100).

Almost surely, 22842011828 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 2842011828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669447600).

2842011828 is an abundant number, since it is smaller than the sum of its proper divisors (4496883372).

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

2842011828 is a wasteful number, since it uses less digits than its factorization.

2842011828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2842011828 is about 53310.5226761096. The cubic root of 2842011828 is about 1416.4740644335.

The spelling of 2842011828 in words is "two billion, eight hundred forty-two million, eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 229 236 354 458 531 687 708 916 1062 1374 2061 2124 2748 4122 5843 8244 11686 13511 17529 23372 27022 35058 40533 52587 54044 70116 81066 105174 121599 162132 210348 243198 344737 486396 689474 1034211 1338047 1378948 2068422 2676094 3102633 4014141 4136844 5352188 6205266 8028282 12042423 12410532 16056564 24084846 48169692 78944773 157889546 236834319 315779092 473668638 710502957 947337276 1421005914 2842011828