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422289648 = 243211292317
BaseRepresentation
bin11001001010111…
…010000011110000
31002102121112111100
4121022322003300
51331101232043
6105523044400
713315255104
oct3112720360
91072545440
10422289648
111a740a510
12b9510700
1369646c41
1440127904
1527117cd3
hex192ba0f0

422289648 has 180 divisors, whose sum is σ = 1339465608. Its totient is φ = 123164160.

The previous prime is 422289643. The next prime is 422289667. The reversal of 422289648 is 846982224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422289643) 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 35 ways as a sum of consecutive naturals, for example, 1331986 + ... + 1332302.

Almost surely, 2422289648 is an apocalyptic number.

422289648 is a gapful number since it is divisible by the number (48) 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 422289648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669732804).

422289648 is an abundant number, since it is smaller than the sum of its proper divisors (917175960).

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

422289648 is a wasteful number, since it uses less digits than its factorization.

422289648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 362 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 422289648 is about 20549.6872968909. The cubic root of 422289648 is about 750.2456368746.

The spelling of 422289648 in words is "four hundred twenty-two million, two hundred eighty-nine thousand, six hundred forty-eight".