Search a number
-
+
426866000 = 24531119403
BaseRepresentation
bin11001011100010…
…111010101010000
31002202020001001212
4121130113111100
51333234203000
6110205115252
713402205201
oct3134272520
91082201055
10426866000
111a9a55820
12bab58b28
136a589c42
14409995a8
152771dc35
hex19717550

426866000 has 80 divisors (see below), whose sum is σ = 1126052928. Its totient is φ = 155216000.

The previous prime is 426865997. The next prime is 426866017. The reversal of 426866000 is 668624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4268660003 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12299 + ... + 31701.

Almost surely, 2426866000 is an apocalyptic number.

426866000 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 426866000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563026464).

426866000 is an abundant number, since it is smaller than the sum of its proper divisors (699186928).

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

426866000 is a wasteful number, since it uses less digits than its factorization.

426866000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19437 (or 19421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 426866000 is about 20660.7357081010. The cubic root of 426866000 is about 752.9460422575.

The spelling of 426866000 in words is "four hundred twenty-six million, eight hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 19403 22000 38806 77612 97015 155224 194030 213433 310448 388060 426866 485075 776120 853732 970150 1067165 1552240 1707464 1940300 2134330 2425375 3414928 3880600 4268660 4850750 5335825 7761200 8537320 9701500 10671650 17074640 19403000 21343300 26679125 38806000 42686600 53358250 85373200 106716500 213433000 426866000