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42322432 = 29131631
BaseRepresentation
bin1010000101110…
…0101000000000
32221122012110111
42201130220000
541313304212
64111041104
71022510005
oct241345000
987565414
1042322432
1121987519
1212210194
1389ca979
1458998ac
153aaeea7
hex285ca00

42322432 has 40 divisors (see below), whose sum is σ = 85342752. Its totient is φ = 20966400.

The previous prime is 42322403. The next prime is 42322439. The reversal of 42322432 is 23422324.

It is not an unprimeable number, because it can be changed into a prime (42322439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66757 + ... + 67387.

Almost surely, 242322432 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 42322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42671376).

42322432 is an abundant number, since it is smaller than the sum of its proper divisors (43020320).

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

42322432 is an equidigital number, since it uses as much as digits as its factorization.

42322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

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

The square root of 42322432 is about 6505.5693063713. The cubic root of 42322432 is about 348.4899076071.

Adding to 42322432 its reverse (23422324), we get a palindrome (65744756).

The spelling of 42322432 in words is "forty-two million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 131 256 262 512 524 631 1048 1262 2096 2524 4192 5048 8384 10096 16768 20192 33536 40384 67072 80768 82661 161536 165322 323072 330644 661288 1322576 2645152 5290304 10580608 21161216 42322432