Search a number
-
+
442905381 = 3373224711
BaseRepresentation
bin11010011001100…
…011001100100101
31010212101220222000
4122121203030211
51401340433011
6111540555513
713655430222
oct3231431445
91125356860
10442905381
11208010406
121043b2b99
13709b46b9
1442b72949
1528d3b356
hex1a663325

442905381 has 16 divisors (see below), whose sum is σ = 665147520. Its totient is φ = 291224160.

The previous prime is 442905377. The next prime is 442905383. The reversal of 442905381 is 183509244.

442905381 is a `hidden beast` number, since 442 + 90 + 53 + 81 = 666.

It is not a de Polignac number, because 442905381 - 22 = 442905377 is a prime.

It is a super-2 number, since 2×4429053812 = 392330353037510322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442905383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110385 + ... + 114326.

It is an arithmetic number, because the mean of its divisors is an integer number (41571720).

Almost surely, 2442905381 is an apocalyptic number.

It is an amenable number.

442905381 is a deficient number, since it is larger than the sum of its proper divisors (222242139).

442905381 is a wasteful number, since it uses less digits than its factorization.

442905381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224793 (or 224787 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 442905381 is about 21045.3173176362. The cubic root of 442905381 is about 762.2609156719.

The spelling of 442905381 in words is "four hundred forty-two million, nine hundred five thousand, three hundred eighty-one".

Divisors: 1 3 9 27 73 219 657 1971 224711 674133 2022399 6067197 16403903 49211709 147635127 442905381