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42426262424 = 2371358277833
BaseRepresentation
bin100111100000110011…
…010110001110011000
311001111202111102211202
4213200303112032120
51143342110344144
631253530013332
73031235165120
oct474063261630
9131452442752
1042426262424
1116aa15789a7
128280577248
134001934bc0
1420a6905c80
1511849e964e
hex9e0cd6398

42426262424 has 32 divisors (see below), whose sum is σ = 97906761120. Its totient is φ = 16784015616.

The previous prime is 42426262397. The next prime is 42426262429.

42426262424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424262624242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42426262429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29138189 + ... + 29139644.

It is an arithmetic number, because the mean of its divisors is an integer number (3059586285).

Almost surely, 242426262424 is an apocalyptic number.

It is an amenable number.

42426262424 is an abundant number, since it is smaller than the sum of its proper divisors (55480498696).

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

42426262424 is a wasteful number, since it uses less digits than its factorization.

42426262424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58277859 (or 58277855 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 42426262424 in words is "forty-two billion, four hundred twenty-six million, two hundred sixty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 58277833 116555666 233111332 407944831 466222664 757611829 815889662 1515223658 1631779324 3030447316 3263558648 5303282803 6060894632 10606565606 21213131212 42426262424