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2050277040 = 243257232769
BaseRepresentation
bin111101000110100…
…1011111010110000
312021212221212100200
41322031023322300
513144332331130
6535240315200
7101544032040
oct17215137260
95255855320
102050277040
11962367539
12492772b00
132689cb8a6
14156425720
15beee4760
hex7a34beb0

2050277040 has 360 divisors, whose sum is σ = 8236868640. Its totient is φ = 447676416.

The previous prime is 2050276999. The next prime is 2050277057. The reversal of 2050277040 is 407720502.

It is a tau number, because it is divible by the number of its divisors (360).

It is a junction number, because it is equal to n+sod(n) for n = 2050276995 and 2050277013.

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 71 ways as a sum of consecutive naturals, for example, 2665776 + ... + 2666544.

Almost surely, 22050277040 is an apocalyptic number.

2050277040 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 2050277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4118434320).

2050277040 is an abundant number, since it is smaller than the sum of its proper divisors (6186591600).

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

2050277040 is a wasteful number, since it uses less digits than its factorization.

2050277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 2050277040 is about 45279.9849823297. The cubic root of 2050277040 is about 1270.3913151310.

Adding to 2050277040 its reverse (407720502), we get a palindrome (2457997542).

The spelling of 2050277040 in words is "two billion, fifty million, two hundred seventy-seven thousand, forty".