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2842723806 = 2313734331153
BaseRepresentation
bin1010100101110000…
…1000010111011110
321100010002022221220
42221130020113132
521310214130211
61150025234210
7130305516336
oct25134102736
97303068856
102842723806
11122970951a
12674032966
13363c387c0
141cd7860c6
15119878806
hexa97085de

2842723806 has 64 divisors (see below), whose sum is σ = 6226393152. Its totient is φ = 859963392.

The previous prime is 2842723721. The next prime is 2842723841. The reversal of 2842723806 is 6083272482.

2842723806 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2464926 + ... + 2466078.

It is an arithmetic number, because the mean of its divisors is an integer number (97287393).

Almost surely, 22842723806 is an apocalyptic number.

2842723806 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2842723806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113196576).

2842723806 is an abundant number, since it is smaller than the sum of its proper divisors (3383669346).

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

2842723806 is a wasteful number, since it uses less digits than its factorization.

2842723806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677.

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2842723806 is about 53317.1999077221. The cubic root of 2842723806 is about 1416.5923391192.

The spelling of 2842723806 in words is "two billion, eight hundred forty-two million, seven hundred twenty-three thousand, eight hundred six".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 433 438 866 949 1153 1299 1898 2306 2598 2847 3459 5629 5694 6918 11258 14989 16887 29978 31609 33774 44967 63218 84169 89934 94827 168338 189654 252507 410917 499249 505014 821834 998498 1094197 1232751 1497747 2188394 2465502 2995494 3282591 6490237 6565182 12980474 19470711 36445177 38941422 72890354 109335531 218671062 473787301 947574602 1421361903 2842723806