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42563801 = 7217371381
BaseRepresentation
bin1010001001011…
…1100011011001
32222002110120002
42202113203121
541344020201
64120142345
71024533500
oct242274331
988073502
1042563801
11220318a5
12123079b5
138a837a7
14591d837
153b0b76b
hex28978d9

42563801 has 24 divisors (see below), whose sum is σ = 53881416. Its totient is φ = 33384960.

The previous prime is 42563797. The next prime is 42563803. The reversal of 42563801 is 10836524.

42563801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19571776 + 22992025 = 4424^2 + 4795^2 .

It is not a de Polignac number, because 42563801 - 22 = 42563797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42563803) 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 23 ways as a sum of consecutive naturals, for example, 30131 + ... + 31511.

It is an arithmetic number, because the mean of its divisors is an integer number (2245059).

Almost surely, 242563801 is an apocalyptic number.

It is an amenable number.

42563801 is a deficient number, since it is larger than the sum of its proper divisors (11317615).

42563801 is a wasteful number, since it uses less digits than its factorization.

42563801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 42563801 is about 6524.0938834447. The cubic root of 42563801 is about 349.1511429263.

The spelling of 42563801 in words is "forty-two million, five hundred sixty-three thousand, eight hundred one".

Divisors: 1 7 17 37 49 119 259 629 833 1381 1813 4403 9667 23477 30821 51097 67669 164339 357679 868649 1150373 2503753 6080543 42563801