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2842364032 = 27411134793
BaseRepresentation
bin1010100101101011…
…0000100010000000
321100002102001102221
42221122300202000
521310121122112
61150013420424
7130302460414
oct25132604200
97302361387
102842364032
111229493192
12673a9a714
13363b40b11
141cd6d0d44
15119806e07
hexa96b0880

2842364032 has 64 divisors (see below), whose sum is σ = 5853186360. Its totient is φ = 1373962240.

The previous prime is 2842363973. The next prime is 2842364039. The reversal of 2842364032 is 2304632482.

It can be written as a sum of positive squares in 4 ways, for example, as 1388009536 + 1454354496 = 37256^2 + 38136^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2842364039) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 590628 + ... + 595420.

Almost surely, 22842364032 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 2842364032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926593180).

2842364032 is an abundant number, since it is smaller than the sum of its proper divisors (3010822328).

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

2842364032 is a wasteful number, since it uses less digits than its factorization.

2842364032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The square root of 2842364032 is about 53313.8258991043. The cubic root of 2842364032 is about 1416.5325754759.

The spelling of 2842364032 in words is "two billion, eight hundred forty-two million, three hundred sixty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 113 128 164 226 328 452 656 904 1312 1808 2624 3616 4633 4793 5248 7232 9266 9586 14464 18532 19172 37064 38344 74128 76688 148256 153376 196513 296512 306752 393026 541609 593024 613504 786052 1083218 1572104 2166436 3144208 4332872 6288416 8665744 12576832 17331488 22205969 25153664 34662976 44411938 69325952 88823876 177647752 355295504 710591008 1421182016 2842364032