Search a number
-
+
442035 = 325111947
BaseRepresentation
bin1101011111010110011
3211110100200
41223322303
5103121120
613250243
73520506
oct1537263
9743320
10442035
11282120
12193983
13126279
14b713d
158ae90
hex6beb3

442035 has 48 divisors (see below), whose sum is σ = 898560. Its totient is φ = 198720.

The previous prime is 442033. The next prime is 442061. The reversal of 442035 is 530244.

442035 = T100 + T101 + ... + T153.

It is a happy number.

It is not a de Polignac number, because 442035 - 21 = 442033 is a prime.

It is an Ulam number.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 441999 and 442017.

It is not an unprimeable number, because it can be changed into a prime (442031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9382 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2442035 is an apocalyptic number.

442035 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

442035 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

442035 is a wasteful number, since it uses less digits than its factorization.

442035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 442035 is about 664.8571275094. The cubic root of 442035 is about 76.1761266069.

Adding to 442035 its reverse (530244), we get a palindrome (972279).

Subtracting 442035 from its reverse (530244), we obtain a square (88209 = 2972).

The spelling of 442035 in words is "four hundred forty-two thousand, thirty-five".

Divisors: 1 3 5 9 11 15 19 33 45 47 55 57 95 99 141 165 171 209 235 285 423 495 517 627 705 855 893 1045 1551 1881 2115 2585 2679 3135 4465 4653 7755 8037 9405 9823 13395 23265 29469 40185 49115 88407 147345 442035