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442424101 = 71913724281
BaseRepresentation
bin11010010111101…
…101101100100101
31010211111110202211
4122113231230211
51401230032401
6111522403421
713651354120
oct3227555445
91124443684
10442424101
11207811859
12104200571
1370876612
1442a893b7
1528c93951
hex1a5edb25

442424101 has 16 divisors (see below), whose sum is σ = 536146560. Its totient is φ = 356624640.

The previous prime is 442424083. The next prime is 442424117. The reversal of 442424101 is 101424244.

It is a cyclic number.

It is not a de Polignac number, because 442424101 - 219 = 441899813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442424141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6081 + ... + 30361.

It is an arithmetic number, because the mean of its divisors is an integer number (33509160).

Almost surely, 2442424101 is an apocalyptic number.

It is an amenable number.

442424101 is a deficient number, since it is larger than the sum of its proper divisors (93722459).

442424101 is a wasteful number, since it uses less digits than its factorization.

442424101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24444.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 442424101 is about 21033.8798370629. The cubic root of 442424101 is about 761.9847137924.

Adding to 442424101 its reverse (101424244), we get a palindrome (543848345).

The spelling of 442424101 in words is "four hundred forty-two million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 7 19 133 137 959 2603 18221 24281 169967 461339 3229373 3326497 23285479 63203443 442424101