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642227040 = 25325713329
BaseRepresentation
bin100110010001111…
…001101101100000
31122202110111212200
4212101321231200
52303402231130
6143421053200
721625561020
oct4621715540
91582414780
10642227040
112aa57a754
1215b0b7200
13a3092000
1461419a80
153b5ae760
hex26479b60

642227040 has 576 divisors, whose sum is σ = 2806876800. Its totient is φ = 130830336.

The previous prime is 642227017. The next prime is 642227083. The reversal of 642227040 is 40722246.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 642226995 and 642227013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22145746 + ... + 22145774.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2642227040 is an apocalyptic number.

642227040 is a gapful number since it is divisible by the number (60) 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 642227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403438400).

642227040 is an abundant number, since it is smaller than the sum of its proper divisors (2164649760).

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

642227040 is a wasteful number, since it uses less digits than its factorization.

642227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 642227040 is about 25342.1987996306. The cubic root of 642227040 is about 862.7723046943.

Adding to 642227040 its reverse (40722246), we get a palindrome (682949286).

The spelling of 642227040 in words is "six hundred forty-two million, two hundred twenty-seven thousand, forty".