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42328013 = 721366449
BaseRepresentation
bin1010000101110…
…1111111001101
32221122111010012
42201131333031
541313444023
64111123005
71022532200
oct241357715
987574105
1042328013
1121990732
1212213465
138a00380
14589b937
153ab1978
hex285dfcd

42328013 has 12 divisors (see below), whose sum is σ = 53027100. Its totient is φ = 33489792.

The previous prime is 42328007. The next prime is 42328019. The reversal of 42328013 is 31082324.

It is an interprime number because it is at equal distance from previous prime (42328007) and next prime (42328019).

It can be written as a sum of positive squares in 2 ways, for example, as 26183689 + 16144324 = 5117^2 + 4018^2 .

It is not a de Polignac number, because 42328013 - 24 = 42327997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42328013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42328019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32588 + ... + 33861.

It is an arithmetic number, because the mean of its divisors is an integer number (4418925).

Almost surely, 242328013 is an apocalyptic number.

It is an amenable number.

42328013 is a deficient number, since it is larger than the sum of its proper divisors (10699087).

42328013 is a wasteful number, since it uses less digits than its factorization.

42328013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66476 (or 66469 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42328013 is about 6505.9982324006. The cubic root of 42328013 is about 348.5052252263.

Adding to 42328013 its sum of digits (23), we get a square (42328036 = 65062).

The spelling of 42328013 in words is "forty-two million, three hundred twenty-eight thousand, thirteen".

Divisors: 1 7 13 49 91 637 66449 465143 863837 3256001 6046859 42328013