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422464064 = 2611600091
BaseRepresentation
bin11001001011100…
…100101001000000
31002102221101202012
4121023210221000
51331122322224
6105530512052
713316612441
oct3113445100
91072841665
10422464064
111a7519560
12b9595628
13696a8449
14401712c8
152714e80e
hex192e4a40

422464064 has 28 divisors (see below), whose sum is σ = 914540208. Its totient is φ = 192028800.

The previous prime is 422464061. The next prime is 422464073. The reversal of 422464064 is 460464224.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 422464064.

It is not an unprimeable number, because it can be changed into a prime (422464061) 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 3 ways as a sum of consecutive naturals, for example, 299342 + ... + 300749.

Almost surely, 2422464064 is an apocalyptic number.

422464064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422464064 is an abundant number, since it is smaller than the sum of its proper divisors (492076144).

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

422464064 is a wasteful number, since it uses less digits than its factorization.

422464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600114 (or 600104 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 422464064 is about 20553.9306216597. The cubic root of 422464064 is about 750.3489126178.

The spelling of 422464064 in words is "four hundred twenty-two million, four hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 600091 1200182 2400364 4800728 6601001 9601456 13202002 19202912 26404004 38405824 52808008 105616016 211232032 422464064