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490184520 = 233574143331
BaseRepresentation
bin11101001101111…
…001111101001000
31021011100221202020
4131031321331020
52000441401040
6120350204440
715101333250
oct3515717510
91234327666
10490184520
11231772981
121181b3720
137a729517
144915c960
152d079cd0
hex1d379f48

490184520 has 256 divisors, whose sum is σ = 1766983680. Its totient is φ = 106444800.

The previous prime is 490184509. The next prime is 490184531. The reversal of 490184520 is 25481094.

It is an interprime number because it is at equal distance from previous prime (490184509) and next prime (490184531).

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 63 ways as a sum of consecutive naturals, for example, 1480755 + ... + 1481085.

It is an arithmetic number, because the mean of its divisors is an integer number (6902280).

Almost surely, 2490184520 is an apocalyptic number.

490184520 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 490184520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883491840).

490184520 is an abundant number, since it is smaller than the sum of its proper divisors (1276799160).

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

490184520 is a wasteful number, since it uses less digits than its factorization.

490184520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 490184520 is about 22140.1111108323. Note that the first 5 decimals coincide. The cubic root of 490184520 is about 788.4724635384.

The spelling of 490184520 in words is "four hundred ninety million, one hundred eighty-four thousand, five hundred twenty".