Search a number
-
+
412219808 = 257111317757
BaseRepresentation
bin11000100100011…
…111100110100000
31001201122221021022
4120210133212200
51321012013213
6104523145012
713133545010
oct3044374640
91051587238
10412219808
111a1761930
12b6075168
136752c660
143ca65c40
15262c9308
hex1891f9a0

412219808 has 192 divisors, whose sum is σ = 1155264768. Its totient is φ = 139345920.

The previous prime is 412219807. The next prime is 412219811. The reversal of 412219808 is 808912214.

It is not an unprimeable number, because it can be changed into a prime (412219807) 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 31 ways as a sum of consecutive naturals, for example, 544166 + ... + 544922.

It is an arithmetic number, because the mean of its divisors is an integer number (6017004).

Almost surely, 2412219808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577632384).

412219808 is an abundant number, since it is smaller than the sum of its proper divisors (743044960).

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

412219808 is a wasteful number, since it uses less digits than its factorization.

412219808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 412219808 is about 20303.1969896369. The cubic root of 412219808 is about 744.2341922783.

The spelling of 412219808 in words is "four hundred twelve million, two hundred nineteen thousand, eight hundred eight".