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442304005 = 51121356237
BaseRepresentation
bin11010010111010…
…000011000000101
31010211021101000211
4122113100120011
51401212212010
6111520035421
713650344023
oct3227203005
91124241024
10442304005
1120773a600
12104162b71
1370833a60
1442a57713
1528c6d08a
hex1a5d0605

442304005 has 24 divisors (see below), whose sum is σ = 628290936. Its totient is φ = 296926080.

The previous prime is 442304003. The next prime is 442304029. The reversal of 442304005 is 500403244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9622404 + 432681601 = 3102^2 + 20801^2 .

It is not a de Polignac number, because 442304005 - 21 = 442304003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442304003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20254 + ... + 35983.

It is an arithmetic number, because the mean of its divisors is an integer number (26178789).

Almost surely, 2442304005 is an apocalyptic number.

It is an amenable number.

442304005 is a deficient number, since it is larger than the sum of its proper divisors (185986931).

442304005 is a wasteful number, since it uses less digits than its factorization.

442304005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56277 (or 56266 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 442304005 is about 21031.0248204884. The cubic root of 442304005 is about 761.9157606488.

Adding to 442304005 its reverse (500403244), we get a palindrome (942707249).

The spelling of 442304005 in words is "four hundred forty-two million, three hundred four thousand, five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 7865 56237 281185 618607 731081 3093035 3655405 6804677 8041891 34023385 40209455 88460801 442304005