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4050045000 = 23325490001
BaseRepresentation
bin1111000101100110…
…1100100001001000
3101110020212121021200
43301121230201020
531243302420000
61505514304200
7202235546241
oct36131544110
911406777250
104050045000
111799165831
12950428060
134c70c4441
142a5c5dcc8
1518a85d500
hexf166c848

4050045000 has 120 divisors (see below), whose sum is σ = 13706854590. Its totient is φ = 1080000000.

The previous prime is 4050044987. The next prime is 4050045001. The reversal of 4050045000 is 5400504.

It is a happy number.

4050045000 is a nontrivial binomial coefficient, being equal to C(90001, 2).

It can be written as a sum of positive squares in 5 ways, for example, as 925011396 + 3125033604 = 30414^2 + 55902^2 .

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 not an unprimeable number, because it can be changed into a prime (4050045001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1 + ... + 90000.

Almost surely, 24050045000 is an apocalyptic number.

4050045000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4050045000 is the 90000-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4050045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853427295).

4050045000 is an abundant number, since it is smaller than the sum of its proper divisors (9656809590).

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

4050045000 is a wasteful number, since it uses less digits than its factorization.

4050045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90033 (or 90011 counting only the distinct ones).

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

The square root of 4050045000 is about 63639.9638591978. The cubic root of 4050045000 is about 1593.9937574108.

Adding to 4050045000 its reverse (5400504), we get a palindrome (4055445504).

The spelling of 4050045000 in words is "four billion, fifty million, forty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5625 7500 9000 11250 15000 22500 45000 90001 180002 270003 360004 450005 540006 720008 810009 900010 1080012 1350015 1620018 1800020 2160024 2250025 2700030 3240036 3600040 4050045 4500050 5400060 6480072 6750075 8100090 9000100 10800120 11250125 13500150 16200180 18000200 20250225 22500250 27000300 32400360 33750375 40500450 45000500 54000600 56250625 67500750 81000900 90001000 101251125 112501250 135001500 162001800 168751875 202502250 225002500 270003000 337503750 405004500 450005000 506255625 675007500 810009000 1012511250 1350015000 2025022500 4050045000