Search a number
-
+
2842364224 = 26710958207
BaseRepresentation
bin1010100101101011…
…0000100101000000
321100002102001201001
42221122300211000
521310121123344
61150013421344
7130302461110
oct25132604500
97302361631
102842364224
111229493347
12673a9a854
13363b40c2b
141cd6d1040
15119806ed4
hexa96b0940

2842364224 has 56 divisors (see below), whose sum is σ = 6505326080. Its totient is φ = 1206959616.

The previous prime is 2842364221. The next prime is 2842364243. The reversal of 2842364224 is 4224632482.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2842364221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19729 + ... + 77935.

Almost surely, 22842364224 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 2842364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252663040).

2842364224 is an abundant number, since it is smaller than the sum of its proper divisors (3662961856).

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

2842364224 is a wasteful number, since it uses less digits than its factorization.

2842364224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58335 (or 58325 counting only the distinct ones).

The product of its digits is 147456, while the sum is 37.

The square root of 2842364224 is about 53313.8276997628. The cubic root of 2842364224 is about 1416.5326073713.

The spelling of 2842364224 in words is "two billion, eight hundred forty-two million, three hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 218 224 436 448 763 872 1526 1744 3052 3488 6104 6976 12208 24416 48832 58207 116414 232828 407449 465656 814898 931312 1629796 1862624 3259592 3725248 6344563 6519184 12689126 13038368 25378252 26076736 44411941 50756504 88823882 101513008 177647764 203026016 355295528 406052032 710591056 1421182112 2842364224