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42442404 = 22317375623
BaseRepresentation
bin1010000111100…
…1111010100100
32221212022000220
42201321322210
541331124104
64113404340
71023516534
oct241717244
987768026
1042442404
1121a59674
12122696b0
138a40464
1458cb4c4
153ad57d9
hex2879ea4

42442404 has 48 divisors (see below), whose sum is σ = 107710848. Its totient is φ = 12953088.

The previous prime is 42442403. The next prime is 42442427. The reversal of 42442404 is 40424424.

42442404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42442403) 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 15 ways as a sum of consecutive naturals, for example, 4737 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (2243976).

Almost surely, 242442404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42442404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53855424).

42442404 is an abundant number, since it is smaller than the sum of its proper divisors (65268444).

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

42442404 is a wasteful number, since it uses less digits than its factorization.

42442404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5684 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 42442404 is about 6514.7834960189. The cubic root of 42442404 is about 348.8188867147.

Adding to 42442404 its reverse (40424424), we get a palindrome (82866828).

The spelling of 42442404 in words is "forty-two million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 629 1258 1887 2516 3774 5623 7548 11246 16869 22492 33738 67476 95591 191182 208051 286773 382364 416102 573546 624153 832204 1147092 1248306 2496612 3536867 7073734 10610601 14147468 21221202 42442404