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490043520 = 2735523137
BaseRepresentation
bin11101001101010…
…111100010000000
31021011002210100000
4131031113202000
52000422343040
6120343200000
715100205211
oct3515274200
91234083300
10490043520
11231686a4a
12118146000
137a6aa2a5
1449123408
152d04d130
hex1d357880

490043520 has 384 divisors, whose sum is σ = 1844519040. Its totient is φ = 124084224.

The previous prime is 490043507. The next prime is 490043569. The reversal of 490043520 is 25340094.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3576892 + ... + 3577028.

It is an arithmetic number, because the mean of its divisors is an integer number (4803435).

Almost surely, 2490043520 is an apocalyptic number.

490043520 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 490043520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922259520).

490043520 is an abundant number, since it is smaller than the sum of its proper divisors (1354475520).

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

490043520 is a wasteful number, since it uses less digits than its factorization.

490043520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 490043520 is about 22136.9266159510. The cubic root of 490043520 is about 788.3968557661.

The spelling of 490043520 in words is "four hundred ninety million, forty-three thousand, five hundred twenty".