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42322560 = 273574767
BaseRepresentation
bin1010000101110…
…0101010000000
32221122012122020
42201130222000
541313310220
64111041440
71022510250
oct241345200
987565566
1042322560
1121987625
1212210280
1389caa47
145899960
153ab0040
hex285ca80

42322560 has 256 divisors, whose sum is σ = 159805440. Its totient is φ = 9326592.

The previous prime is 42322559. The next prime is 42322573. The reversal of 42322560 is 6522324.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42322560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631647 + ... + 631713.

It is an arithmetic number, because the mean of its divisors is an integer number (624240).

Almost surely, 242322560 is an apocalyptic number.

42322560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79902720).

42322560 is an abundant number, since it is smaller than the sum of its proper divisors (117482880).

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

42322560 is a wasteful number, since it uses less digits than its factorization.

42322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42322560 is about 6505.5791440886. The cubic root of 42322560 is about 348.4902589311.

Adding to 42322560 its reverse (6522324), we get a palindrome (48844884).

The spelling of 42322560 in words is "forty-two million, three hundred twenty-two thousand, five hundred sixty".