Search a number
-
+
4052280000 = 2635433769
BaseRepresentation
bin1111000110001000…
…1110001011000000
3101110102002011010110
43301202032023000
531244340430000
61510034231320
7202263545256
oct36142161300
911412064113
104052280000
11179a451a3a
12951125540
134c76c7822
142a62825d6
1518ab50850
hexf188e2c0

4052280000 has 140 divisors (see below), whose sum is σ = 13398179960. Its totient is φ = 1080576000.

The previous prime is 4052279999. The next prime is 4052280007. The reversal of 4052280000 is 822504.

It is not an unprimeable number, because it can be changed into a prime (4052280007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103116 + ... + 136884.

Almost surely, 24052280000 is an apocalyptic number.

4052280000 is a gapful number since it is divisible by the number (40) 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 4052280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699089980).

4052280000 is an abundant number, since it is smaller than the sum of its proper divisors (9345899960).

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

4052280000 is an equidigital number, since it uses as much as digits as its factorization.

4052280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33804 (or 33779 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4052280000 is about 63657.5211581475. The cubic root of 4052280000 is about 1594.2869163689.

The spelling of 4052280000 in words is "four billion, fifty-two million, two hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 33769 40000 60000 67538 101307 120000 135076 168845 202614 270152 337690 405228 506535 540304 675380 810456 844225 1013070 1080608 1350760 1620912 1688450 2026140 2161216 2532675 2701520 3241824 3376900 4052280 4221125 5065350 5403040 6483648 6753800 8104560 8442250 10130700 10806080 12663375 13507600 16209120 16884500 20261400 21105625 25326750 27015200 32418240 33769000 40522800 42211250 50653500 54030400 63316875 67538000 81045600 84422500 101307000 126633750 135076000 162091200 168845000 202614000 253267500 270152000 337690000 405228000 506535000 675380000 810456000 1013070000 1350760000 2026140000 4052280000