Search a number
-
+
442105301 = 11733131759
BaseRepresentation
bin11010010110011…
…111110111010101
31010210220021110102
4122112133313111
51401134332201
6111511503445
713645555511
oct3226376725
91123807412
10442105301
11207614290
12104087b85
1370794491
1442a05141
1528c2e26b
hex1a59fdd5

442105301 has 16 divisors (see below), whose sum is σ = 490744320. Its totient is φ = 394917120.

The previous prime is 442105297. The next prime is 442105303. The reversal of 442105301 is 103501244.

It is a cyclic number.

It is not a de Polignac number, because 442105301 - 22 = 442105297 is a prime.

It is a super-3 number, since 3×4421053013 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442105303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250460 + ... + 252218.

It is an arithmetic number, because the mean of its divisors is an integer number (30671520).

Almost surely, 2442105301 is an apocalyptic number.

It is an amenable number.

442105301 is a deficient number, since it is larger than the sum of its proper divisors (48639019).

442105301 is a wasteful number, since it uses less digits than its factorization.

442105301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 442105301 is about 21026.3002213894. The cubic root of 442105301 is about 761.8016472904.

Adding to 442105301 its reverse (103501244), we get a palindrome (545606545).

The spelling of 442105301 in words is "four hundred forty-two million, one hundred five thousand, three hundred one".

Divisors: 1 11 73 313 803 1759 3443 19349 22849 128407 251339 550567 1412477 6056237 40191391 442105301