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425098368 = 273579173
BaseRepresentation
bin11001010101100…
…111110010000000
31002121220020100000
4121111213302000
51332311121433
6110103200000
713351163562
oct3125476200
91077806300
10425098368
111a8a58772
12ba446000
136a0bb4c6
1440659332
15274c0113
hex19567c80

425098368 has 192 divisors, whose sum is σ = 1292054400. Its totient is φ = 139097088.

The previous prime is 425098367. The next prime is 425098393. The reversal of 425098368 is 863890524.

425098368 is a `hidden beast` number, since 4 + 2 + 509 + 83 + 68 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (425098367) by changing a digit.

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, 2457130 + ... + 2457302.

It is an arithmetic number, because the mean of its divisors is an integer number (6729450).

Almost surely, 2425098368 is an apocalyptic number.

425098368 is a gapful number since it is divisible by the number (48) 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 425098368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646027200).

425098368 is an abundant number, since it is smaller than the sum of its proper divisors (866956032).

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

425098368 is an equidigital number, since it uses as much as digits as its factorization.

425098368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 425098368 is about 20617.9137644913. The cubic root of 425098368 is about 751.9052996788.

The spelling of 425098368 in words is "four hundred twenty-five million, ninety-eight thousand, three hundred sixty-eight".