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426352248 = 23357171997
BaseRepresentation
bin11001011010011…
…001111001111000
31002201020221100000
4121122121321320
51333121232443
6110150113000
713364635320
oct3132317170
91081227300
10426352248
111a9734833
12ba94b760
136a43a14a
14408a4280
152766b8d3
hex19699e78

426352248 has 384 divisors, whose sum is σ = 1541030400. Its totient is φ = 107495424.

The previous prime is 426352141. The next prime is 426352249. The reversal of 426352248 is 842253624.

426352248 is a `hidden beast` number, since 426 + 3 + 5 + 224 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426352249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4395336 + ... + 4395432.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2426352248 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 426352248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770515200).

426352248 is an abundant number, since it is smaller than the sum of its proper divisors (1114678152).

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

426352248 is a wasteful number, since it uses less digits than its factorization.

426352248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 426352248 is about 20648.2989129855. The cubic root of 426352248 is about 752.6438531030.

The spelling of 426352248 in words is "four hundred twenty-six million, three hundred fifty-two thousand, two hundred forty-eight".