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42424101 = 334336541
BaseRepresentation
bin1010000111010…
…1011100100101
32221211100221000
42201311130211
541330032401
64113143513
71023412266
oct241653445
987740830
1042424101
1121a46945
121225ab99
138a35025
1458c496d
153ad0186
hex2875725

42424101 has 16 divisors (see below), whose sum is σ = 64313920. Its totient is φ = 27624240.

The previous prime is 42424087. The next prime is 42424103. The reversal of 42424101 is 10142424.

42424101 is a `hidden beast` number, since 424 + 241 + 0 + 1 = 666.

42424101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42424101 - 26 = 42424037 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 (42424103) 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 15 ways as a sum of consecutive naturals, for example, 17110 + ... + 19431.

It is an arithmetic number, because the mean of its divisors is an integer number (4019620).

Almost surely, 242424101 is an apocalyptic number.

It is an amenable number.

42424101 is a deficient number, since it is larger than the sum of its proper divisors (21889819).

42424101 is a wasteful number, since it uses less digits than its factorization.

42424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36593 (or 36587 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 42424101 is about 6513.3786163557. The cubic root of 42424101 is about 348.7687375757.

Adding to 42424101 its reverse (10142424), we get a palindrome (52566525).

It can be divided in two parts, 42424 and 101, that multiplied together give a palindrome (4284824).

The spelling of 42424101 in words is "forty-two million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 27 43 129 387 1161 36541 109623 328869 986607 1571263 4713789 14141367 42424101