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42254144 = 265312457
BaseRepresentation
bin1010000100101…
…1111101000000
32221111201210022
42201023331000
541304113034
64105353012
71022103632
oct241137500
987451708
1042254144
1121940189
1212198768
1389a586a
14587ca52
153a99b2e
hex284bf40

42254144 has 28 divisors (see below), whose sum is σ = 85436964. Its totient is φ = 20726784.

The previous prime is 42254143. The next prime is 42254161. The reversal of 42254144 is 44145224.

It can be written as a sum of positive squares in 2 ways, for example, as 32718400 + 9535744 = 5720^2 + 3088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42254143) 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, 2837 + ... + 9620.

Almost surely, 242254144 is an apocalyptic number.

It is an amenable number.

42254144 is an abundant number, since it is smaller than the sum of its proper divisors (43182820).

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

42254144 is a wasteful number, since it uses less digits than its factorization.

42254144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12512 counting only the distinct ones).

The product of its digits is 5120, while the sum is 26.

The square root of 42254144 is about 6500.3187614147. The cubic root of 42254144 is about 348.3023751450.

Adding to 42254144 its reverse (44145224), we get a palindrome (86399368).

The spelling of 42254144 in words is "forty-two million, two hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 53 64 106 212 424 848 1696 3392 12457 24914 49828 99656 199312 398624 660221 797248 1320442 2640884 5281768 10563536 21127072 42254144