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422129448 = 2333131737239
BaseRepresentation
bin11001001010010…
…010111100101000
31002102022101202000
4121022102330220
51331031120243
6105515411000
713314020046
oct3112227450
91072271660
10422129448
111a7310114
12b9453a60
13695bc050
14400c5396
15270d55d3
hex19292f28

422129448 has 256 divisors, whose sum is σ = 1378944000. Its totient is φ = 118444032.

The previous prime is 422129447. The next prime is 422129503. The reversal of 422129448 is 844921224.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (422129443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766113 + ... + 1766351.

It is an arithmetic number, because the mean of its divisors is an integer number (5386500).

Almost surely, 2422129448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422129448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

422129448 is an abundant number, since it is smaller than the sum of its proper divisors (956814552).

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

422129448 is a wasteful number, since it uses less digits than its factorization.

422129448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 422129448 is about 20545.7890576147. The cubic root of 422129448 is about 750.1507536957.

The spelling of 422129448 in words is "four hundred twenty-two million, one hundred twenty-nine thousand, four hundred forty-eight".