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426926448 = 243213253331
BaseRepresentation
bin11001011100100…
…110000101110000
31002202100002222200
4121130212011300
51333243121243
6110210303200
713402546344
oct3134460560
91082302880
10426926448
111a9a97183
12bab87b00
136a5ab600
14409b3624
1527731ad3
hex19726170

426926448 has 180 divisors, whose sum is σ = 1322172072. Its totient is φ = 128494080.

The previous prime is 426926443. The next prime is 426926449. The reversal of 426926448 is 844629624.

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 (426926443) 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, 1289643 + ... + 1289973.

Almost surely, 2426926448 is an apocalyptic number.

426926448 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 426926448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661086036).

426926448 is an abundant number, since it is smaller than the sum of its proper divisors (895245624).

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

426926448 is a wasteful number, since it uses less digits than its factorization.

426926448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 402 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 426926448 is about 20662.1985277463. The cubic root of 426926448 is about 752.9815818524.

The spelling of 426926448 in words is "four hundred twenty-six million, nine hundred twenty-six thousand, four hundred forty-eight".