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42303424 = 261921831
BaseRepresentation
bin1010000101011…
…1111111000000
32221121020101111
42201113333000
541312202144
64110413104
71022400412
oct241277700
987536344
1042303424
1121974209
1212201194
1389c2117
1458929b2
153aa9534
hex2857fc0

42303424 has 42 divisors (see below), whose sum is σ = 88644984. Its totient is φ = 20027520.

The previous prime is 42303421. The next prime is 42303449. The reversal of 42303424 is 42430324.

42303424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42303395 and 42303404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42303421) 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 5 ways as a sum of consecutive naturals, for example, 22189 + ... + 24019.

Almost surely, 242303424 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 42303424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44322492).

42303424 is an abundant number, since it is smaller than the sum of its proper divisors (46341560).

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

42303424 is a wasteful number, since it uses less digits than its factorization.

42303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 42303424 is about 6504.1082401817. The cubic root of 42303424 is about 348.4377281223.

Adding to 42303424 its reverse (42430324), we get a palindrome (84733748).

The spelling of 42303424 in words is "forty-two million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 722 1216 1444 1831 2888 3662 5776 7324 11552 14648 23104 29296 34789 58592 69578 117184 139156 278312 556624 660991 1113248 1321982 2226496 2643964 5287928 10575856 21151712 42303424