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490861440 = 27325312749
BaseRepresentation
bin11101010000011…
…111001110000000
31021012122100022100
4131100133032000
52001130031230
6120412510400
715110152626
oct3520371600
91235570270
10490861440
11232095513
1211847b400
137a905674
1449297516
152d160660
hex1d41f380

490861440 has 192 divisors, whose sum is σ = 1750320000. Its totient is φ = 126627840.

The previous prime is 490861421. The next prime is 490861489. The reversal of 490861440 is 44168094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 490861395 and 490861404.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 177186 + ... + 179934.

It is an arithmetic number, because the mean of its divisors is an integer number (9116250).

Almost surely, 2490861440 is an apocalyptic number.

490861440 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 490861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875160000).

490861440 is an abundant number, since it is smaller than the sum of its proper divisors (1259458560).

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

490861440 is a wasteful number, since it uses less digits than its factorization.

490861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 490861440 is about 22155.3930229188. The cubic root of 490861440 is about 788.8352434445.

The spelling of 490861440 in words is "four hundred ninety million, eight hundred sixty-one thousand, four hundred forty".