Search a number
-
+
2442042 = 233411103
BaseRepresentation
bin1001010100001100111010
311121001212000
421110030322
51111121132
6124201430
726520441
oct11241472
94531760
102442042
111418819
12999276
136766c5
14477d58
1533387c
hex25433a

2442042 has 32 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 793440.

The previous prime is 2442019. The next prime is 2442047. The reversal of 2442042 is 2402442.

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 (2442047) 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, 1663 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

22442042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2442042 is an abundant number, since it is smaller than the sum of its proper divisors (3122118).

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

2442042 is a wasteful number, since it uses less digits than its factorization.

2442042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2442042 is about 1562.7034267576. The cubic root of 2442042 is about 134.6638550644.

Adding to 2442042 its reverse (2402442), we get a palindrome (4844484).

The spelling of 2442042 in words is "two million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1103 1107 2206 2214 3309 6618 9927 19854 29781 45223 59562 90446 135669 271338 407007 814014 1221021 2442042