Search a number
-
+
2880386964 = 2232713879239
BaseRepresentation
bin1010101110101111…
…0011011110010100
321102201221211002200
42223223303132110
521344334340324
61153452404500
7131243612430
oct25353633624
97381854080
102880386964
1112489a33a4
12684776730
1336b9947b0
141d478b9c0
1511cd17ec9
hexabaf3794

2880386964 has 72 divisors (see below), whose sum is σ = 8961214080. Its totient is φ = 759661632.

The previous prime is 2880386939. The next prime is 2880387007. The reversal of 2880386964 is 4696830882.

It is a super-2 number, since 2×28803869642 = 16593258124762274592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2880386964.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 436344 + ... + 442895.

Almost surely, 22880386964 is an apocalyptic number.

It is an amenable number.

2880386964 is an abundant number, since it is smaller than the sum of its proper divisors (6080827116).

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

2880386964 is a wasteful number, since it uses less digits than its factorization.

2880386964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879269 (or 879264 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2880386964 is about 53669.2366631015. The cubic root of 2880386964 is about 1422.8210406859.

The spelling of 2880386964 in words is "two billion, eight hundred eighty million, three hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 879239 1758478 2637717 3516956 5275434 6154673 7913151 10550868 11430107 12309346 15826302 18464019 22860214 24618692 31652604 34290321 36928038 45720428 55392057 68580642 73856076 80010749 102870963 110784114 137161284 160021498 205741926 221568228 240032247 320042996 411483852 480064494 720096741 960128988 1440193482 2880386964