Search a number
-
+
442457041 = 1322618089
BaseRepresentation
bin11010010111110…
…101101111010001
31010211120010221211
4122113311233101
51401232111131
6111523220121
713651552135
oct3227655721
91124503854
10442457041
11207834584
12104217641
1370888600
1442a973c5
1528c9d5b1
hex1a5f5bd1

442457041 has 6 divisors (see below), whose sum is σ = 479110470. Its totient is φ = 408421728.

The previous prime is 442457023. The next prime is 442457077. The reversal of 442457041 is 140754244.

It can be written as a sum of positive squares in 3 ways, for example, as 22043025 + 420414016 = 4695^2 + 20504^2 .

It is not a de Polignac number, because 442457041 - 221 = 440359889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442456994 and 442457012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442457021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1308876 + ... + 1309213.

It is an arithmetic number, because the mean of its divisors is an integer number (79851745).

Almost surely, 2442457041 is an apocalyptic number.

It is an amenable number.

442457041 is a deficient number, since it is larger than the sum of its proper divisors (36653429).

442457041 is a wasteful number, since it uses less digits than its factorization.

442457041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618115 (or 2618102 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 31.

The square root of 442457041 is about 21034.6628449329. The cubic root of 442457041 is about 762.0036241196.

The spelling of 442457041 in words is "four hundred forty-two million, four hundred fifty-seven thousand, forty-one".

Divisors: 1 13 169 2618089 34035157 442457041