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422832 = 24323383
BaseRepresentation
bin1100111001110110000
3210111000110
41213032300
5102012312
613021320
73410514
oct1471660
9714013
10422832
11269753
12184840
1311a5c7
14b0144
158543c
hex673b0

422832 has 40 divisors (see below), whose sum is σ = 1142784. Its totient is φ = 134464.

The previous prime is 422827. The next prime is 422857. The reversal of 422832 is 238224.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422799 and 422808.

It is an unprimeable number.

422832 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 913 + ... + 1295.

2422832 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 422832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571392).

422832 is an abundant number, since it is smaller than the sum of its proper divisors (719952).

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

422832 is a wasteful number, since it uses less digits than its factorization.

422832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 422832 is about 650.2553344649. The cubic root of 422832 is about 75.0566682831.

The spelling of 422832 in words is "four hundred twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 383 552 766 1104 1149 1532 2298 3064 4596 6128 8809 9192 17618 18384 26427 35236 52854 70472 105708 140944 211416 422832