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4242042 = 2327131257
BaseRepresentation
bin10000001011101001111010
321222111222200
4100023221322
52041221132
6230531030
751025320
oct20135172
97874880
104242042
112438122
121506a76
13b56aac
147c5d10
1558bd7c
hex40ba7a

4242042 has 48 divisors (see below), whose sum is σ = 10625472. Its totient is φ = 1198080.

The previous prime is 4242031. The next prime is 4242059. The reversal of 4242042 is 2402424.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16378 + ... + 16634.

It is an arithmetic number, because the mean of its divisors is an integer number (221364).

Almost surely, 24242042 is an apocalyptic number.

4242042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312736).

4242042 is an abundant number, since it is smaller than the sum of its proper divisors (6383430).

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

4242042 is a wasteful number, since it uses less digits than its factorization.

4242042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 400 counting only the distinct ones).

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

The square root of 4242042 is about 2059.6218099447. The cubic root of 4242042 is about 161.8794255982.

Adding to 4242042 its reverse (2402424), we get a palindrome (6644466).

The spelling of 4242042 in words is "four million, two hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 257 262 393 514 771 786 917 1179 1542 1799 1834 2313 2358 2751 3598 4626 5397 5502 8253 10794 16191 16506 32382 33667 67334 101001 202002 235669 303003 471338 606006 707007 1414014 2121021 4242042