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42753641 = 724125343
BaseRepresentation
bin1010001100010…
…1111001101001
32222110002222012
42203011321221
541421104031
64124205305
71026254120
oct243057151
988402865
1042753641
1122151497
1212399835
138b1c018
14596cab7
153b47b2b
hex28c5e69

42753641 has 8 divisors (see below), whose sum is σ = 49065984. Its totient is φ = 36492480.

The previous prime is 42753617. The next prime is 42753647. The reversal of 42753641 is 14635724.

42753641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42753641 - 210 = 42752617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42753598 and 42753607.

It is not an unprimeable number, because it can be changed into a prime (42753647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10985 + ... + 14358.

It is an arithmetic number, because the mean of its divisors is an integer number (6133248).

Almost surely, 242753641 is an apocalyptic number.

It is an amenable number.

42753641 is a deficient number, since it is larger than the sum of its proper divisors (6312343).

42753641 is a wasteful number, since it uses less digits than its factorization.

42753641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25591.

The product of its digits is 20160, while the sum is 32.

The square root of 42753641 is about 6538.6268436117. The cubic root of 42753641 is about 349.6694593637.

The spelling of 42753641 in words is "forty-two million, seven hundred fifty-three thousand, six hundred forty-one".

Divisors: 1 7 241 1687 25343 177401 6107663 42753641