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422486064 = 243371113977
BaseRepresentation
bin11001001011101…
…010000000110000
31002102222111221000
4121023222000300
51331124023224
6105531202000
713320033540
oct3113520060
91072874830
10422486064
111a7534040
12b95a6300
13696b5470
1440179320
15271560c9
hex192ea030

422486064 has 320 divisors, whose sum is σ = 1629895680. Its totient is φ = 101191680.

The previous prime is 422486063. The next prime is 422486069. The reversal of 422486064 is 460684224.

It is a happy number.

422486064 is a `hidden beast` number, since 4 + 2 + 2 + 48 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422486063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431944 + ... + 432920.

It is an arithmetic number, because the mean of its divisors is an integer number (5093424).

Almost surely, 2422486064 is an apocalyptic number.

422486064 is a gapful number since it is divisible by the number (44) 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 422486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814947840).

422486064 is an abundant number, since it is smaller than the sum of its proper divisors (1207409616).

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

422486064 is a wasteful number, since it uses less digits than its factorization.

422486064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 422486064 is about 20554.4657921338. The cubic root of 422486064 is about 750.3619373071.

The spelling of 422486064 in words is "four hundred twenty-two million, four hundred eighty-six thousand, sixty-four".