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426073005 = 32519498331
BaseRepresentation
bin11001011001010…
…101101110101101
31002200201202021200
4121121111232231
51333033314010
6110140120113
713362363231
oct3131255655
91080652250
10426073005
111a9563a56
12ba836039
136a370007
14408305c1
1527613cc0
hex19655bad

426073005 has 24 divisors (see below), whose sum is σ = 777397920. Its totient is φ = 215278560.

The previous prime is 426073003. The next prime is 426073007. The reversal of 426073005 is 500370624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426073003) and next prime (426073007).

It is not a de Polignac number, because 426073005 - 21 = 426073003 is a prime.

It is a super-3 number, since 3×4260730053 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 426073005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426073003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248311 + ... + 250020.

It is an arithmetic number, because the mean of its divisors is an integer number (32391580).

Almost surely, 2426073005 is an apocalyptic number.

426073005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

426073005 is a deficient number, since it is larger than the sum of its proper divisors (351324915).

426073005 is a wasteful number, since it uses less digits than its factorization.

426073005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498361 (or 498358 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 426073005 is about 20641.5359166899. The cubic root of 426073005 is about 752.4795004036.

The spelling of 426073005 in words is "four hundred twenty-six million, seventy-three thousand, five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 855 498331 1494993 2491655 4484979 7474965 9468289 22424895 28404867 47341445 85214601 142024335 426073005