Search a number
-
+
422835840 = 27325710487
BaseRepresentation
bin11001001100111…
…111011010000000
31002110122021201200
4121030333122000
51331221221330
6105542501200
713323021360
oct3114773200
91073567650
10422835840
111a7752909
12b9734800
13697a872b
144022a9a0
15271c4a60
hex1933f680

422835840 has 192 divisors, whose sum is σ = 1668850560. Its totient is φ = 96638976.

The previous prime is 422835827. The next prime is 422835857. The reversal of 422835840 is 48538224.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 422835795 and 422835804.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35077 + ... + 45563.

It is an arithmetic number, because the mean of its divisors is an integer number (8691930).

Almost surely, 2422835840 is an apocalyptic number.

422835840 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 422835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834425280).

422835840 is an abundant number, since it is smaller than the sum of its proper divisors (1246014720).

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

422835840 is a wasteful number, since it uses less digits than its factorization.

422835840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10519 (or 10504 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 422835840 is about 20562.9725477617. The cubic root of 422835840 is about 750.5689549446.

The spelling of 422835840 in words is "four hundred twenty-two million, eight hundred thirty-five thousand, eight hundred forty".