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442832 = 24132129
BaseRepresentation
bin1101100000111010000
3211111110012
41230013100
5103132312
613254052
73523025
oct1540720
9744405
10442832
11282785
12194328
13126740
14b754c
158b322
hex6c1d0

442832 has 20 divisors (see below), whose sum is σ = 924420. Its totient is φ = 204288.

The previous prime is 442831. The next prime is 442837. The reversal of 442832 is 238244.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 355216 = 296^2 + 596^2 .

It is a super-2 number, since 2×4428322 = 392200360448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442798 and 442807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442831) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 857 + ... + 1272.

It is an arithmetic number, because the mean of its divisors is an integer number (46221).

2442832 is an apocalyptic number.

It is an amenable number.

442832 is an abundant number, since it is smaller than the sum of its proper divisors (481588).

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

442832 is a wasteful number, since it uses less digits than its factorization.

442832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2144 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 442832 is about 665.4562344738. The cubic root of 442832 is about 76.2218815967.

The spelling of 442832 in words is "four hundred forty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 2129 4258 8516 17032 27677 34064 55354 110708 221416 442832