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442711013 = 2928375381
BaseRepresentation
bin11010011000110…
…011101111100101
31010212001001100012
4122120303233211
51401313223023
6111532500005
713653660443
oct3230635745
91125031305
10442711013
11207998378
1210431a605
13709470a4
1442b21b93
1528ced978
hex1a633be5

442711013 has 8 divisors (see below), whose sum is σ = 458223480. Its totient is φ = 427215040.

The previous prime is 442710997. The next prime is 442711051. The reversal of 442711013 is 310117244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 113569 + 442597444 = 337^2 + 21038^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 442711013 - 24 = 442710997 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442711013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442713013) 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 7 ways as a sum of consecutive naturals, for example, 79583 + ... + 84963.

It is an arithmetic number, because the mean of its divisors is an integer number (57277935).

Almost surely, 2442711013 is an apocalyptic number.

It is an amenable number.

442711013 is a deficient number, since it is larger than the sum of its proper divisors (15512467).

442711013 is a wasteful number, since it uses less digits than its factorization.

442711013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 442711013 is about 21040.6989665268. The cubic root of 442711013 is about 762.1493938779.

Adding to 442711013 its reverse (310117244), we get a palindrome (752828257).

The spelling of 442711013 in words is "four hundred forty-two million, seven hundred eleven thousand, thirteen".

Divisors: 1 29 2837 5381 82273 156049 15265897 442711013