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426380448 = 2531331103107
BaseRepresentation
bin11001011010100…
…000110010100000
31002201022101000110
4121122200302200
51333123133243
6110150451320
713365113454
oct3132406240
91081271013
10426380448
111a9753a3a
12ba963b40
136a449c30
14408b0664
1527674e33
hex196a0ca0

426380448 has 192 divisors, whose sum is σ = 1268047872. Its totient is φ = 124554240.

The previous prime is 426380441. The next prime is 426380531. The reversal of 426380448 is 844083624.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (426380441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3984811 + ... + 3984917.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2426380448 is an apocalyptic number.

426380448 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 426380448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634023936).

426380448 is an abundant number, since it is smaller than the sum of its proper divisors (841667424).

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

426380448 is a wasteful number, since it uses less digits than its factorization.

426380448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 426380448 is about 20648.9817666635. The cubic root of 426380448 is about 752.6604466504.

The spelling of 426380448 in words is "four hundred twenty-six million, three hundred eighty thousand, four hundred forty-eight".