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422864640 = 28325114771
BaseRepresentation
bin11001001101000…
…110011100000000
31002110200202020100
4121031012130000
51331223132030
6105543242400
713323201342
oct3115063400
91073622210
10422864640
111a7772510
12b9749400
13697b8883
1440237292
15271cd360
hex19346700

422864640 has 432 divisors, whose sum is σ = 1652990976. Its totient is φ = 98918400.

The previous prime is 422864597. The next prime is 422864653. The reversal of 422864640 is 46468224.

It is a happy number.

422864640 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 6 + 4 + 640 = 666.

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 = 422864595 and 422864604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5955805 + ... + 5955875.

It is an arithmetic number, because the mean of its divisors is an integer number (3826368).

Almost surely, 2422864640 is an apocalyptic number.

422864640 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 422864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826495488).

422864640 is an abundant number, since it is smaller than the sum of its proper divisors (1230126336).

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

422864640 is a wasteful number, since it uses less digits than its factorization.

422864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

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

The square root of 422864640 is about 20563.6728236957. The cubic root of 422864640 is about 750.5859953600.

It can be divided in two parts, 42 and 2864640, that added together give a palindrome (2864682).

The spelling of 422864640 in words is "four hundred twenty-two million, eight hundred sixty-four thousand, six hundred forty".