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426050352 = 243271324161
BaseRepresentation
bin11001011001010…
…000001100110000
31002200200121012200
4121121100030300
51333032102402
6110135423200
713362240210
oct3131201460
91080617180
10426050352
111a9548a32
12ba824b00
136a362900
1440826240
152760c21c
hex19650330

426050352 has 360 divisors, whose sum is σ = 1536339168. Its totient is φ = 107827200.

The previous prime is 426050351. The next prime is 426050363. The reversal of 426050352 is 253050624.

426050352 is a `hidden beast` number, since 4 + 2 + 605 + 0 + 3 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (426050351) 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 71 ways as a sum of consecutive naturals, for example, 6984402 + ... + 6984462.

Almost surely, 2426050352 is an apocalyptic number.

426050352 is a gapful number since it is divisible by the number (42) 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 426050352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768169584).

426050352 is an abundant number, since it is smaller than the sum of its proper divisors (1110288816).

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

426050352 is a wasteful number, since it uses less digits than its factorization.

426050352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 426050352 is about 20640.9871856944. The cubic root of 426050352 is about 752.4661644886.

The spelling of 426050352 in words is "four hundred twenty-six million, fifty thousand, three hundred fifty-two".