Search a number
-
+
2839872672 = 2532713108359
BaseRepresentation
bin1010100101000101…
…0000010010100000
321022220201110221100
42221101100102200
521304001411142
61145444154400
7130242343110
oct25121202240
97286643840
102839872672
11122804140a
12673098a00
1336347ab40
141cd243040
151194b3b4c
hexa94504a0

2839872672 has 144 divisors (see below), whose sum is σ = 9939646080. Its totient is φ = 748970496.

The previous prime is 2839872619. The next prime is 2839872703. The reversal of 2839872672 is 2762789382.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27972 + ... + 80387.

It is an arithmetic number, because the mean of its divisors is an integer number (69025320).

Almost surely, 22839872672 is an apocalyptic number.

It is an amenable number.

2839872672 is an abundant number, since it is smaller than the sum of its proper divisors (7099773408).

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

2839872672 is a wasteful number, since it uses less digits than its factorization.

2839872672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108395 (or 108384 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 2839872672 is about 53290.4557308342. The cubic root of 2839872672 is about 1416.1185862573.

The spelling of 2839872672 in words is "two billion, eight hundred thirty-nine million, eight hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 108359 216718 325077 433436 650154 758513 866872 975231 1300308 1408667 1517026 1733744 1950462 2275539 2600616 2817334 3034052 3467488 3900924 4226001 4551078 5201232 5634668 6068104 6826617 7801848 8452002 9102156 9860669 10402464 11269336 12136208 12678003 13653234 15603696 16904004 18204312 19721338 22538672 24272416 25356006 27306468 29582007 31207392 33808008 36408624 39442676 45077344 50712012 54612936 59164014 67616016 72817248 78885352 88746021 101424024 109225872 118328028 135232032 157770704 177492042 202848048 218451744 236656056 315541408 354984084 405696096 473312112 709968168 946624224 1419936336 2839872672