Search a number
-
+
442738692 = 2232111118027
BaseRepresentation
bin11010011000111…
…010100000000100
31010212002110022100
4122120322200010
51401320114232
6111533232100
713654134234
oct3230724004
91125073270
10442738692
11207a07150
12104332630
1370956876
1442b2bcc4
1528d06c7c
hex1a63a804

442738692 has 36 divisors (see below), whose sum is σ = 1220886576. Its totient is φ = 134163120.

The previous prime is 442738663. The next prime is 442738693. The reversal of 442738692 is 296837244.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×4427386923 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (442738693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 558618 + ... + 559409.

It is an arithmetic number, because the mean of its divisors is an integer number (33913516).

Almost surely, 2442738692 is an apocalyptic number.

It is an amenable number.

442738692 is an abundant number, since it is smaller than the sum of its proper divisors (778147884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442738692 is a wasteful number, since it uses less digits than its factorization.

442738692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118048 (or 1118043 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 442738692 is about 21041.3567053078. The cubic root of 442738692 is about 762.1652771462.

The spelling of 442738692 in words is "four hundred forty-two million, seven hundred thirty-eight thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1118027 2236054 3354081 4472108 6708162 10062243 12298297 13416324 20124486 24596594 36894891 40248972 49193188 73789782 110684673 147579564 221369346 442738692