Search a number
-
+
822042 = 233131171
BaseRepresentation
bin11001000101100011010
31112202122000
43020230122
5202301132
625341430
76662424
oct3105432
91482560
10822042
11511681
12337876
1322a220
14175814
1511387c
hexc8b1a

822042 has 32 divisors (see below), whose sum is σ = 1968960. Its totient is φ = 252720.

The previous prime is 822037. The next prime is 822049. The reversal of 822042 is 240228.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (822049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117 + ... + 1287.

It is an arithmetic number, because the mean of its divisors is an integer number (61530).

2822042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 822042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984480).

822042 is an abundant number, since it is smaller than the sum of its proper divisors (1146918).

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

822042 is a wasteful number, since it uses less digits than its factorization.

822042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 822042 is about 906.6653186264. The cubic root of 822042 is about 93.6766466206.

The spelling of 822042 in words is "eight hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1171 2342 3513 7026 10539 15223 21078 30446 31617 45669 63234 91338 137007 274014 411021 822042