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42284143 = 1123971723
BaseRepresentation
bin1010000101001…
…1010001101111
32221120020221101
42201103101233
541311043033
64110143531
71022260246
oct241232157
987506841
1042284143
1121960780
12121b1ba7
1389b6405
14588995d
153aa397d
hex285346f

42284143 has 16 divisors (see below), whose sum is σ = 48658176. Its totient is φ = 36368640.

The previous prime is 42284131. The next prime is 42284147. The reversal of 42284143 is 34148224.

42284143 = T387 + T388 + ... + T677.

It is a happy number.

42284143 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 42284143 - 25 = 42284111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42284147) 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, 23680 + ... + 25402.

It is an arithmetic number, because the mean of its divisors is an integer number (3041136).

Almost surely, 242284143 is an apocalyptic number.

42284143 is a deficient number, since it is larger than the sum of its proper divisors (6374033).

42284143 is a wasteful number, since it uses less digits than its factorization.

42284143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its digits is 6144, while the sum is 28.

The square root of 42284143 is about 6502.6258542223. The cubic root of 42284143 is about 348.3847832451.

The spelling of 42284143 in words is "forty-two million, two hundred eighty-four thousand, one hundred forty-three".

Divisors: 1 11 23 97 253 1067 1723 2231 18953 24541 39629 167131 435919 1838441 3844013 42284143