Search a number
-
+
2842444160 = 2757575867
BaseRepresentation
bin1010100101101100…
…0100000110000000
321100002120010100122
42221123010012000
521310131203120
61150015235412
7130303243133
oct25133040600
97302503318
102842444160
111229538406
12673b18b68
13363b6b42a
141cd71221a
15119820a25
hexa96c4180

2842444160 has 64 divisors (see below), whose sum is σ = 6805354320. Its totient is φ = 1135282176.

The previous prime is 2842444159. The next prime is 2842444177. The reversal of 2842444160 is 614442482.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2842444160.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 481547 + ... + 487413.

Almost surely, 22842444160 is an apocalyptic number.

2842444160 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 2842444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402677160).

2842444160 is an abundant number, since it is smaller than the sum of its proper divisors (3962910160).

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

2842444160 is an equidigital number, since it uses as much as digits as its factorization.

2842444160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643 (or 6631 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 2842444160 is about 53314.5773686709. The cubic root of 2842444160 is about 1416.5458863273.

The spelling of 2842444160 in words is "two billion, eight hundred forty-two million, four hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 757 1514 3028 3785 5867 6056 7570 11734 12112 15140 23468 24224 29335 30280 46936 48448 58670 60560 93872 96896 117340 121120 187744 234680 242240 375488 469360 484480 750976 938720 1877440 3754880 4441319 8882638 17765276 22206595 35530552 44413190 71061104 88826380 142122208 177652760 284244416 355305520 568488832 710611040 1421222080 2842444160