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42302032 = 2410126177
BaseRepresentation
bin1010000101011…
…1101001010000
32221121011110221
42201113221100
541312131112
64110402424
71022363353
oct241275120
987534427
1042302032
1121973163
1212200414
1389c15b6
14589229a
153aa8e07
hex2857a50

42302032 has 20 divisors (see below), whose sum is σ = 82774836. Its totient is φ = 20940800.

The previous prime is 42301969. The next prime is 42302077. The reversal of 42302032 is 23020324.

It can be written as a sum of positive squares in 2 ways, for example, as 40653376 + 1648656 = 6376^2 + 1284^2 .

It is a super-2 number, since 2×423020322 = 3578923822658048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42301997 and 42302015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11473 + ... + 14704.

Almost surely, 242302032 is an apocalyptic number.

It is an amenable number.

42302032 is a deficient number, since it is larger than the sum of its proper divisors (40472804).

42302032 is a wasteful number, since it uses less digits than its factorization.

42302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26286 (or 26280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 42302032 is about 6504.0012300122. The cubic root of 42302032 is about 348.4339062832.

Subtracting from 42302032 its sum of digits (16), we obtain a square (42302016 = 65042).

Adding to 42302032 its reverse (23020324), we get a palindrome (65322356).

The spelling of 42302032 in words is "forty-two million, three hundred two thousand, thirty-two".

Divisors: 1 2 4 8 16 101 202 404 808 1616 26177 52354 104708 209416 418832 2643877 5287754 10575508 21151016 42302032