Search a number
-
+
442742617 = 19234432287
BaseRepresentation
bin11010011000111…
…011011101011001
31010212002122200201
4122120323131121
51401320230432
6111533302201
713654151542
oct3230733531
91125078621
10442742617
11207a0a099
12104334961
13709585a5
1442b2d4c9
1528d07ee7
hex1a63b759

442742617 has 16 divisors (see below), whose sum is σ = 487618560. Its totient is φ = 400123152.

The previous prime is 442742557. The next prime is 442742627. The reversal of 442742617 is 716247244.

It is a cyclic number.

It is not a de Polignac number, because 442742617 - 223 = 434354009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (442742627) 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, 192448 + ... + 194734.

It is an arithmetic number, because the mean of its divisors is an integer number (30476160).

Almost surely, 2442742617 is an apocalyptic number.

It is an amenable number.

442742617 is a deficient number, since it is larger than the sum of its proper divisors (44875943).

442742617 is a wasteful number, since it uses less digits than its factorization.

442742617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772.

The product of its digits is 75264, while the sum is 37.

The square root of 442742617 is about 21041.4499738017. The cubic root of 442742617 is about 762.1675294077.

The spelling of 442742617 in words is "four hundred forty-two million, seven hundred forty-two thousand, six hundred seventeen".

Divisors: 1 19 23 437 443 2287 8417 10189 43453 52601 193591 999419 1013141 19249679 23302243 442742617