Search a number
-
+
2918082048 = 29371272137
BaseRepresentation
bin1010110111101110…
…0110011000000000
321112100212221000220
42231323212120000
521434012111143
61201320343040
7132212200560
oct25573463000
97470787026
102918082048
1112681aa262
12695314a80
1337673218b
141d97a0da0
151212b1d83
hexadee6600

2918082048 has 160 divisors (see below), whose sum is σ = 8958664704. Its totient is φ = 826785792.

The previous prime is 2918082031. The next prime is 2918082061. The reversal of 2918082048 is 8402808192.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1364436 + ... + 1366572.

Almost surely, 22918082048 is an apocalyptic number.

2918082048 is a gapful number since it is divisible by the number (28) 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 2918082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4479332352).

2918082048 is an abundant number, since it is smaller than the sum of its proper divisors (6040582656).

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

2918082048 is a wasteful number, since it uses less digits than its factorization.

2918082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 2918082048 is about 54019.2747822479. The cubic root of 2918082048 is about 1429.0008911014. Note that the first 3 decimals are identical.

The spelling of 2918082048 in words is "two billion, nine hundred eighteen million, eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 256 336 381 384 448 508 512 672 762 768 889 896 1016 1344 1524 1536 1778 1792 2032 2137 2667 2688 3048 3556 3584 4064 4274 5334 5376 6096 6411 7112 8128 8548 10668 10752 12192 12822 14224 14959 16256 17096 21336 24384 25644 28448 29918 32512 34192 42672 44877 48768 51288 56896 59836 65024 68384 85344 89754 97536 102576 113792 119672 136768 170688 179508 195072 205152 227584 239344 271399 273536 341376 359016 410304 455168 478688 542798 547072 682752 718032 814197 820608 957376 1085596 1094144 1365504 1436064 1628394 1641216 1899793 1914752 2171192 2872128 3256788 3282432 3799586 3829504 4342384 5699379 5744256 6513576 7599172 7659008 8684768 11398758 11488512 13027152 15198344 17369536 22797516 22977024 26054304 30396688 34739072 45595032 52108608 60793376 69478144 91190064 104217216 121586752 138956288 182380128 208434432 243173504 364760256 416868864 486347008 729520512 972694016 1459041024 2918082048