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827050480 = 24510338131
BaseRepresentation
bin110001010010111…
…100100111110000
32010122020111222021
4301102330213300
53143211103410
6214022321224
726331545614
oct6122744760
92118214867
10827050480
113949372a3
121b0b89214
131024644a9
147bbab344
154c91beda
hex314bc9f0

827050480 has 20 divisors (see below), whose sum is σ = 1922892552. Its totient is φ = 330820160.

The previous prime is 827050463. The next prime is 827050481. The reversal of 827050480 is 84050728.

827050480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827050481) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5168986 + ... + 5169145.

Almost surely, 2827050480 is an apocalyptic number.

827050480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827050480 is an abundant number, since it is smaller than the sum of its proper divisors (1095842072).

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

827050480 is a wasteful number, since it uses less digits than its factorization.

827050480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338144 (or 10338138 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 827050480 is about 28758.4853564996. The cubic root of 827050480 is about 938.6651038502.

The spelling of 827050480 in words is "eight hundred twenty-seven million, fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10338131 20676262 41352524 51690655 82705048 103381310 165410096 206762620 413525240 827050480