Base | Representation |
---|---|
bin | 1010000111011… |
… | …1011000000111 |
3 | 2221211202202211 |
4 | 2201313120013 |
5 | 41330311012 |
6 | 4113244251 |
7 | 1023444322 |
oct | 241673007 |
9 | 87752684 |
10 | 42432007 |
11 | 21a51882 |
12 | 12263687 |
13 | 8a387c7 |
14 | 58c77b9 |
15 | 3ad26a7 |
hex | 2877607 |
42432007 has 16 divisors (see below), whose sum is σ = 45313632. Its totient is φ = 39674880.
The previous prime is 42432001. The next prime is 42432029. The reversal of 42432007 is 70023424.
42432007 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 42432007 - 23 = 42431999 is a prime.
It is a super-3 number, since 3×424320073 (a number of 24 digits) contains 333 as substring.
It is a Duffinian number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42432001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125743 + ... + 126079.
It is an arithmetic number, because the mean of its divisors is an integer number (2832102).
Almost surely, 242432007 is an apocalyptic number.
42432007 is a deficient number, since it is larger than the sum of its proper divisors (2881625).
42432007 is a wasteful number, since it uses less digits than its factorization.
42432007 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 498.
The product of its (nonzero) digits is 1344, while the sum is 22.
The square root of 42432007 is about 6513.9854927686. The cubic root of 42432007 is about 348.7904013180.
The spelling of 42432007 in words is "forty-two million, four hundred thirty-two thousand, seven".
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