Search a number
-
+
2778243000 = 233531371237
BaseRepresentation
bin1010010110011000…
…1001111110111000
321011121202100220220
42211212021332320
521142212234000
61135403220040
7125563450551
oct24546117670
97147670826
102778243000
1111a62780a5
12656517620
13353780190
141c4d9d328
15113d8d1a0
hexa5989fb8

2778243000 has 128 divisors (see below), whose sum is σ = 9335027520. Its totient is φ = 683865600.

The previous prime is 2778242989. The next prime is 2778243011. The reversal of 2778243000 is 3428772.

It is an interprime number because it is at equal distance from previous prime (2778242989) and next prime (2778243011).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3382 + ... + 74618.

Almost surely, 22778243000 is an apocalyptic number.

2778243000 is a gapful number since it is divisible by the number (20) 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 2778243000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4667513760).

2778243000 is an abundant number, since it is smaller than the sum of its proper divisors (6556784520).

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

2778243000 is a wasteful number, since it uses less digits than its factorization.

2778243000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71274 (or 71260 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2778243000 is about 52709.0409702169. The cubic root of 2778243000 is about 1405.7995811793.

The spelling of 2778243000 in words is "two billion, seven hundred seventy-eight million, two hundred forty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 71237 142474 213711 284948 356185 427422 569896 712370 854844 926081 1068555 1424740 1709688 1780925 1852162 2137110 2778243 2849480 3561850 3704324 4274220 4630405 5342775 5556486 7123700 7408648 8548440 8904625 9260810 10685550 11112972 13891215 14247400 17809250 18521620 21371100 22225944 23152025 26713875 27782430 35618500 37043240 42742200 46304050 53427750 55564860 69456075 71237000 92608100 106855500 111129720 115760125 138912150 185216200 213711000 231520250 277824300 347280375 463040500 555648600 694560750 926081000 1389121500 2778243000