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490562064 = 2432171953199
BaseRepresentation
bin11101001111010…
…110001000010000
31021012002010122100
4131033112020100
52001040441224
6120402240400
715104465046
oct3517261020
91235063570
10490562064
11231a005a3
12118356100
137a82c315
144921a396
152d101ac9
hex1d3d6210

490562064 has 240 divisors, whose sum is σ = 1566864000. Its totient is φ = 142331904.

The previous prime is 490562053. The next prime is 490562071. The reversal of 490562064 is 460265094.

490562064 is a `hidden beast` number, since 4 + 90 + 562 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×4905620642 = 481302277271880192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2465037 + ... + 2465235.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2490562064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490562064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783432000).

490562064 is an abundant number, since it is smaller than the sum of its proper divisors (1076301936).

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

490562064 is a wasteful number, since it uses less digits than its factorization.

490562064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 490562064 is about 22148.6357141924. The cubic root of 490562064 is about 788.6748408354.

The spelling of 490562064 in words is "four hundred ninety million, five hundred sixty-two thousand, sixty-four".