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42442420 = 22510919469
BaseRepresentation
bin1010000111100…
…1111010110100
32221212022001111
42201321322310
541331124140
64113404404
71023516556
oct241717264
987768044
1042442420
1121a59689
1212269704
138a40477
1458cb4d6
153ad57ea
hex2879eb4

42442420 has 24 divisors (see below), whose sum is σ = 89951400. Its totient is φ = 16820352.

The previous prime is 42442403. The next prime is 42442427. The reversal of 42442420 is 2424424.

It can be written as a sum of positive squares in 4 ways, for example, as 5134756 + 37307664 = 2266^2 + 6108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42442391 and 42442400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42442427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7555 + ... + 11914.

It is an arithmetic number, because the mean of its divisors is an integer number (3747975).

Almost surely, 242442420 is an apocalyptic number.

It is an amenable number.

42442420 is an abundant number, since it is smaller than the sum of its proper divisors (47508980).

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

42442420 is a wasteful number, since it uses less digits than its factorization.

42442420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19587 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 42442420 is about 6514.7847239951. The cubic root of 42442420 is about 348.8189305475.

Adding to 42442420 its reverse (2424424), we get a palindrome (44866844).

The spelling of 42442420 in words is "forty-two million, four hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 436 545 1090 2180 19469 38938 77876 97345 194690 389380 2122121 4244242 8488484 10610605 21221210 42442420