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42090072 = 2331753753
BaseRepresentation
bin1010000010001…
…1111001011000
32221012101201120
42200203321120
541233340242
64102045240
71020521403
oct240437130
987171646
1042090072
1121838992
1212119820
138948c8b
145838d3a
153a661ec
hex2823e58

42090072 has 16 divisors (see below), whose sum is σ = 105225240. Its totient is φ = 14030016.

The previous prime is 42090071. The next prime is 42090091. The reversal of 42090072 is 27009024.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 1753753 = 42090072 / (4 + 2 + 0 + 9 + 0 + 0 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42090071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 876853 + ... + 876900.

Almost surely, 242090072 is an apocalyptic number.

It is an amenable number.

42090072 is an abundant number, since it is smaller than the sum of its proper divisors (63135168).

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

42090072 is a wasteful number, since it uses less digits than its factorization.

42090072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753762 (or 1753758 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 42090072 is about 6487.6861822995. The cubic root of 42090072 is about 347.8509733154.

Adding to 42090072 its reverse (27009024), we get a palindrome (69099096).

The spelling of 42090072 in words is "forty-two million, ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 1753753 3507506 5261259 7015012 10522518 14030024 21045036 42090072