Search a number
-
+
426584808 = 2332131721983
BaseRepresentation
bin11001011011010…
…010101011101000
31002201200202100100
4121123102223220
51333201203213
6110155105400
713366624326
oct3133225350
91081622310
10426584808
111a9883531
12baa42260
136a4bbc60
1440924d16
15276b5773
hex196d2ae8

426584808 has 288 divisors, whose sum is σ = 1408024800. Its totient is φ = 115623936.

The previous prime is 426584801. The next prime is 426584833. The reversal of 426584808 is 808485624.

It is not an unprimeable number, because it can be changed into a prime (426584801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5139535 + ... + 5139617.

It is an arithmetic number, because the mean of its divisors is an integer number (4888975).

Almost surely, 2426584808 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 426584808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704012400).

426584808 is an abundant number, since it is smaller than the sum of its proper divisors (981439992).

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

426584808 is a wasteful number, since it uses less digits than its factorization.

426584808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 426584808 is about 20653.9296018942. The cubic root of 426584808 is about 752.7806750539.

The spelling of 426584808 in words is "four hundred twenty-six million, five hundred eighty-four thousand, eight hundred eight".