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426856320 = 27325116737
BaseRepresentation
bin11001011100010…
…100111110000000
31002202012112210100
4121130110332000
51333233400240
6110205002400
713402135032
oct3134247600
91082175710
10426856320
111a9a49520
12bab53400
136a585707
1440995c52
152771ae30
hex19714f80

426856320 has 192 divisors, whose sum is σ = 1608225840. Its totient is φ = 103464960.

The previous prime is 426856319. The next prime is 426856321. The reversal of 426856320 is 23658624.

It is an interprime number because it is at equal distance from previous prime (426856319) and next prime (426856321).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4268563203 (a number of 27 digits) contains 333 as substring.

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 (426856321) 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 23 ways as a sum of consecutive naturals, for example, 59992 + ... + 66728.

Almost surely, 2426856320 is an apocalyptic number.

426856320 is a gapful number since it is divisible by the number (40) 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 426856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804112920).

426856320 is an abundant number, since it is smaller than the sum of its proper divisors (1181369520).

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

426856320 is a wasteful number, since it uses less digits than its factorization.

426856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6758 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 426856320 is about 20660.5014459959. The cubic root of 426856320 is about 752.9403507191.

The spelling of 426856320 in words is "four hundred twenty-six million, eight hundred fifty-six thousand, three hundred twenty".