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4055202000 = 243253225289
BaseRepresentation
bin1111000110110101…
…0111100011010000
3101110121120121100200
43301231113203100
531301112431000
61510221015200
7202330435233
oct36155274320
911417517320
104055202000
1117a1068313
129520b4500
134c81ab815
142a680341a
1518b02b500
hexf1b578d0

4055202000 has 120 divisors (see below), whose sum is σ = 14163531720. Its totient is φ = 1081382400.

The previous prime is 4055201993. The next prime is 4055202007. The reversal of 4055202000 is 2025504.

It is an interprime number because it is at equal distance from previous prime (4055201993) and next prime (4055202007).

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 4035806784 = 4404^2 + 63528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055202007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 94645 + ... + 130644.

It is an arithmetic number, because the mean of its divisors is an integer number (118029431).

Almost surely, 24055202000 is an apocalyptic number.

4055202000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4055202000 is an abundant number, since it is smaller than the sum of its proper divisors (10108329720).

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

4055202000 is a wasteful number, since it uses less digits than its factorization.

4055202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225318 (or 225299 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 4055202000 is about 63680.4679631047. The cubic root of 4055202000 is about 1594.6700247348.

Adding to 4055202000 its reverse (2025504), we get a palindrome (4057227504).

It can be divided in two parts, 405 and 5202000, that multiplied together give a square (2106810000 = 459002).

The spelling of 4055202000 in words is "four billion, fifty-five million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 225289 450578 675867 901156 1126445 1351734 1802312 2027601 2252890 2703468 3379335 3604624 4055202 4505780 5406936 5632225 6758670 8110404 9011560 10138005 10813872 11264450 13517340 16220808 16896675 18023120 20276010 22528900 27034680 28161125 32441616 33793350 40552020 45057800 50690025 54069360 56322250 67586700 81104040 84483375 90115600 101380050 112644500 135173400 162208080 168966750 202760100 225289000 253450125 270346800 337933500 405520200 450578000 506900250 675867000 811040400 1013800500 1351734000 2027601000 4055202000