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422041440 = 253531113251
BaseRepresentation
bin11001001001111…
…101011101100000
31002102010221000110
4121021331131200
51331020311230
6105513451320
713313202342
oct3111753540
91072127013
10422041440
111a725aa87
12b9410b40
136958ac82
14400a1292
15270b94b0
hex1927d760

422041440 has 192 divisors, whose sum is σ = 1389975552. Its totient is φ = 107520000.

The previous prime is 422041429. The next prime is 422041441. The reversal of 422041440 is 44140224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422041441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681315 + ... + 1681565.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2422041440 is an apocalyptic number.

422041440 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 422041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

422041440 is an abundant number, since it is smaller than the sum of its proper divisors (967934112).

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

422041440 is a wasteful number, since it uses less digits than its factorization.

422041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 422041440 is about 20543.6471932323. The cubic root of 422041440 is about 750.0986181432.

Adding to 422041440 its reverse (44140224), we get a palindrome (466181664).

The spelling of 422041440 in words is "four hundred twenty-two million, forty-one thousand, four hundred forty".