Search a number
-
+
422391840 = 253513241127
BaseRepresentation
bin11001001011010…
…011000000100000
31002102210201200020
4121023103000200
51331113014330
6105525153440
713316162043
oct3113230040
91072721606
10422391840
111a747a272
12b955b880
1369681600
1440152c5a
1527138210
hex192d3020

422391840 has 288 divisors, whose sum is σ = 1487517696. Its totient is φ = 100638720.

The previous prime is 422391829. The next prime is 422391841. The reversal of 422391840 is 48193224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422391841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3325857 + ... + 3325983.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2422391840 is an apocalyptic number.

422391840 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 422391840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743758848).

422391840 is an abundant number, since it is smaller than the sum of its proper divisors (1065125856).

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

422391840 is a wasteful number, since it uses less digits than its factorization.

422391840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 422391840 is about 20552.1736076747. The cubic root of 422391840 is about 750.3061505677.

The spelling of 422391840 in words is "four hundred twenty-two million, three hundred ninety-one thousand, eight hundred forty".