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426856200 = 23352711427
BaseRepresentation
bin11001011100010…
…100111100001000
31002202012112121220
4121130110330020
51333233344300
6110205002040
713402134501
oct3134247410
91082175556
10426856200
111a9a49421
12bab53320
136a585644
1440995ba8
152771ada0
hex19714f08

426856200 has 48 divisors (see below), whose sum is σ = 1323256080. Its totient is φ = 113828160.

The previous prime is 426856187. The next prime is 426856231. The reversal of 426856200 is 2658624.

It is a super-3 number, since 3×4268562003 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 355114 + ... + 356313.

It is an arithmetic number, because the mean of its divisors is an integer number (27567835).

Almost surely, 2426856200 is an apocalyptic number.

426856200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426856200 is an abundant number, since it is smaller than the sum of its proper divisors (896399880).

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

426856200 is a wasteful number, since it uses less digits than its factorization.

426856200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711446 (or 711437 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 426856200 is about 20660.4985419036. The cubic root of 426856200 is about 752.9402801623.

The spelling of 426856200 in words is "four hundred twenty-six million, eight hundred fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 711427 1422854 2134281 2845708 3557135 4268562 5691416 7114270 8537124 10671405 14228540 17074248 17785675 21342810 28457080 35571350 42685620 53357025 71142700 85371240 106714050 142285400 213428100 426856200