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2820444328 = 231367715701
BaseRepresentation
bin1010100000011100…
…1001000010101000
321021120011102021001
42220013021002220
521234013204303
61143511524344
7126615244522
oct25007110250
97246142231
102820444328
111218081629
126686896b4
1335c437990
141ca826a12
1511792731d
hexa81c90a8

2820444328 has 64 divisors (see below), whose sum is σ = 5862568320. Its totient is φ = 1264032000.

The previous prime is 2820444311. The next prime is 2820444359. The reversal of 2820444328 is 8234440282.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491878 + ... + 497578.

It is an arithmetic number, because the mean of its divisors is an integer number (91602630).

Almost surely, 22820444328 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 2820444328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931284160).

2820444328 is an abundant number, since it is smaller than the sum of its proper divisors (3042123992).

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

2820444328 is a wasteful number, since it uses less digits than its factorization.

2820444328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 2820444328 is about 53107.8556147770. The cubic root of 2820444328 is about 1412.8818426044.

The spelling of 2820444328 in words is "two billion, eight hundred twenty million, four hundred forty-four thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 67 71 104 134 142 268 284 536 568 871 923 1742 1846 3484 3692 4757 5701 6968 7384 9514 11402 19028 22804 38056 45608 61841 74113 123682 148226 247364 296452 381967 404771 494728 592904 763934 809542 1527868 1619084 3055736 3238168 4965571 5262023 9931142 10524046 19862284 21048092 27119657 39724568 42096184 54239314 108478628 216957256 352555541 705111082 1410222164 2820444328