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4050000 = 243455
BaseRepresentation
bin1111011100110001010000
321121202120000
433130301100
52014100000
6222450000
746265403
oct17346120
97552500
104050000
112316909
121433900
13aba566
14775d3a
15550000
hex3dcc50

4050000 has 150 divisors (see below), whose sum is σ = 14651406. Its totient is φ = 1080000.

The previous prime is 4049989. The next prime is 4050019. The reversal of 4050000 is 504.

Multipling 4050000 by its product of nonzero digits (20), we get a square (81000000 = 90002).

4050000 divided by its product of nonzero digits (20) gives a square (202500 = 4502).

Adding to 4050000 its reverse (504), we get a palindrome (4050504).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4050000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1871424 + 2178576 = 1368^2 + 1476^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 809998 + ... + 810002.

Almost surely, 24050000 is an apocalyptic number.

4050000 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 4050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325703).

4050000 is an abundant number, since it is smaller than the sum of its proper divisors (10601406).

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

4050000 is an frugal number, since it uses more digits than its factorization.

4050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 4050000 is about 2012.4611797498. The cubic root of 4050000 is about 159.3987853774.

The spelling of 4050000 in words is "four million, fifty thousand", and thus it is an eban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 125 135 144 150 162 180 200 216 225 240 250 270 300 324 360 375 400 405 432 450 500 540 600 625 648 675 720 750 810 900 1000 1080 1125 1200 1250 1296 1350 1500 1620 1800 1875 2000 2025 2160 2250 2500 2700 3000 3125 3240 3375 3600 3750 4050 4500 5000 5400 5625 6000 6250 6480 6750 7500 8100 9000 9375 10000 10125 10800 11250 12500 13500 15000 16200 16875 18000 18750 20250 22500 25000 27000 28125 30000 32400 33750 37500 40500 45000 50000 50625 54000 56250 67500 75000 81000 84375 90000 101250 112500 135000 150000 162000 168750 202500 225000 253125 270000 337500 405000 450000 506250 675000 810000 1012500 1350000 2025000 4050000